LCM for 121 and 225

The first method to find LCM for numbers 121 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 121 and 225 is 1, so

LCM = (121 × 225) ÷ 1

LCM = 27,225 ÷ 1

LCM = 27,225

The second method to find LCM for numbers 121 and 225 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 121: 121, 242, 363, 484, 605, 726, 847, 968, 1,089, 1,210, 1,331, 1,452, 1,573, 1,694, 1,815, 1,936, 2,057, 2,178, 2,299, 2,420, 2,541, 2,662, 2,783, 2,904, 3,025, 3,146, 3,267, 3,388, 3,509, 3,630, 3,751, 3,872, 3,993, 4,114, 4,235, 4,356, 4,477, 4,598, 4,719, 4,840, 4,961, 5,082, 5,203, 5,324, 5,445, 5,566, 5,687, 5,808, 5,929, 6,050, 6,171, 6,292, 6,413, 6,534, 6,655, 6,776, 6,897, 7,018, 7,139, 7,260, 7,381, 7,502, 7,623, 7,744, 7,865, 7,986, 8,107, 8,228, 8,349, 8,470, 8,591, 8,712, 8,833, 8,954, 9,075, 9,196, 9,317, 9,438, 9,559, 9,680, 9,801, 9,922, 10,043, 10,164, 10,285, 10,406, 10,527, 10,648, 10,769, 10,890, 11,011, 11,132, 11,253, 11,374, 11,495, 11,616, 11,737, 11,858, 11,979, 12,100, 12,221, 12,342, 12,463, 12,584, 12,705, 12,826, 12,947, 13,068, 13,189, 13,310, 13,431, 13,552, 13,673, 13,794, 13,915, 14,036, 14,157, 14,278, 14,399, 14,520, 14,641, 14,762, 14,883, 15,004, 15,125, 15,246, 15,367, 15,488, 15,609, 15,730, 15,851, 15,972, 16,093, 16,214, 16,335, 16,456, 16,577, 16,698, 16,819, 16,940, 17,061, 17,182, 17,303, 17,424, 17,545, 17,666, 17,787, 17,908, 18,029, 18,150, 18,271, 18,392, 18,513, 18,634, 18,755, 18,876, 18,997, 19,118, 19,239, 19,360, 19,481, 19,602, 19,723, 19,844, 19,965, 20,086, 20,207, 20,328, 20,449, 20,570, 20,691, 20,812, 20,933, 21,054, 21,175, 21,296, 21,417, 21,538, 21,659, 21,780, 21,901, 22,022, 22,143, 22,264, 22,385, 22,506, 22,627, 22,748, 22,869, 22,990, 23,111, 23,232, 23,353, 23,474, 23,595, 23,716, 23,837, 23,958, 24,079, 24,200, 24,321, 24,442, 24,563, 24,684, 24,805, 24,926, 25,047, 25,168, 25,289, 25,410, 25,531, 25,652, 25,773, 25,894, 26,015, 26,136, 26,257, 26,378, 26,499, 26,620, 26,741, 26,862, 26,983, 27,104, 27,225, 27,346, 27,467

Multiples of 225: 225, 450, 675, 900, 1,125, 1,350, 1,575, 1,800, 2,025, 2,250, 2,475, 2,700, 2,925, 3,150, 3,375, 3,600, 3,825, 4,050, 4,275, 4,500, 4,725, 4,950, 5,175, 5,400, 5,625, 5,850, 6,075, 6,300, 6,525, 6,750, 6,975, 7,200, 7,425, 7,650, 7,875, 8,100, 8,325, 8,550, 8,775, 9,000, 9,225, 9,450, 9,675, 9,900, 10,125, 10,350, 10,575, 10,800, 11,025, 11,250, 11,475, 11,700, 11,925, 12,150, 12,375, 12,600, 12,825, 13,050, 13,275, 13,500, 13,725, 13,950, 14,175, 14,400, 14,625, 14,850, 15,075, 15,300, 15,525, 15,750, 15,975, 16,200, 16,425, 16,650, 16,875, 17,100, 17,325, 17,550, 17,775, 18,000, 18,225, 18,450, 18,675, 18,900, 19,125, 19,350, 19,575, 19,800, 20,025, 20,250, 20,475, 20,700, 20,925, 21,150, 21,375, 21,600, 21,825, 22,050, 22,275, 22,500, 22,725, 22,950, 23,175, 23,400, 23,625, 23,850, 24,075, 24,300, 24,525, 24,750, 24,975, 25,200, 25,425, 25,650, 25,875, 26,100, 26,325, 26,550, 26,775, 27,000, 27,225, 27,450, 27,675

So the LCM for 121 and 225 is 27,225

Another method to find LCM for numbers 121 and 225 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: