LCM for 69 and 91
What's the Least Common Multiple (LCM) of 69 and 91?
(Six thousand, two hundred seventy-nine)
Finding LCM for 69 and 91 using GCF's of these numbers
The first method to find LCM for numbers 69 and 91 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 69 and 91 is 1, so
LCM = (69 × 91) ÷ 1
LCM = 6279 ÷ 1
LCM = 6279
Finding LCM for 69 and 91 by Listing Multiples
The second method to find LCM for numbers 69 and 91 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 69: 69, 138, 207, 276, 345, 414, 483, 552, 621, 690, 759, 828, 897, 966, 1035, 1104, 1173, 1242, 1311, 1380, 1449, 1518, 1587, 1656, 1725, 1794, 1863, 1932, 2001, 2070, 2139, 2208, 2277, 2346, 2415, 2484, 2553, 2622, 2691, 2760, 2829, 2898, 2967, 3036, 3105, 3174, 3243, 3312, 3381, 3450, 3519, 3588, 3657, 3726, 3795, 3864, 3933, 4002, 4071, 4140, 4209, 4278, 4347, 4416, 4485, 4554, 4623, 4692, 4761, 4830, 4899, 4968, 5037, 5106, 5175, 5244, 5313, 5382, 5451, 5520, 5589, 5658, 5727, 5796, 5865, 5934, 6003, 6072, 6141, 6210, 6279, 6348, 6417
Multiples of 91: 91, 182, 273, 364, 455, 546, 637, 728, 819, 910, 1001, 1092, 1183, 1274, 1365, 1456, 1547, 1638, 1729, 1820, 1911, 2002, 2093, 2184, 2275, 2366, 2457, 2548, 2639, 2730, 2821, 2912, 3003, 3094, 3185, 3276, 3367, 3458, 3549, 3640, 3731, 3822, 3913, 4004, 4095, 4186, 4277, 4368, 4459, 4550, 4641, 4732, 4823, 4914, 5005, 5096, 5187, 5278, 5369, 5460, 5551, 5642, 5733, 5824, 5915, 6006, 6097, 6188, 6279, 6370, 6461
So the LCM for 69 and 91 is 6279
Finding LCM for 69 and 91 by Prime Factorization
Another method to find LCM for numbers 69 and 91 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 69: 3, 23 (exponent form: 31, 231)
All Prime Factors of 91: 7, 13 (exponent form: 71, 131)
31 × 231 × 71 × 131 = 6279
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