LCM for 47 and 66
What's the Least Common Multiple (LCM) of 47 and 66?
Answer
(Three thousand one hundred two)
Finding LCM for 47 and 66 using GCF of these numbers
The first method to find LCM for numbers 47 and 66 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 47 and 66 is 1, so
LCM = (47 × 66) ÷ 1
LCM = 3,102 ÷ 1
LCM = 3,102
Finding LCM for 47 and 66 by Listing Multiples
The second method to find LCM for numbers 47 and 66 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 47: 47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1,034, 1,081, 1,128, 1,175, 1,222, 1,269, 1,316, 1,363, 1,410, 1,457, 1,504, 1,551, 1,598, 1,645, 1,692, 1,739, 1,786, 1,833, 1,880, 1,927, 1,974, 2,021, 2,068, 2,115, 2,162, 2,209, 2,256, 2,303, 2,350, 2,397, 2,444, 2,491, 2,538, 2,585, 2,632, 2,679, 2,726, 2,773, 2,820, 2,867, 2,914, 2,961, 3,008, 3,055, 3,102, 3,149, 3,196
Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792, 858, 924, 990, 1,056, 1,122, 1,188, 1,254, 1,320, 1,386, 1,452, 1,518, 1,584, 1,650, 1,716, 1,782, 1,848, 1,914, 1,980, 2,046, 2,112, 2,178, 2,244, 2,310, 2,376, 2,442, 2,508, 2,574, 2,640, 2,706, 2,772, 2,838, 2,904, 2,970, 3,036, 3,102, 3,168, 3,234
So the LCM for 47 and 66 is 3,102
Finding LCM for 47 and 66 by Prime Factorization
Another method to find LCM for numbers 47 and 66 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 47: 47 (exponent form: 471)
All Prime Factors of 66: 2, 3, 11 (exponent form: 21, 31, 111)
471 × 21 × 31 × 111 = 3,102
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers

LCM Table
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers