LCM for 21 and 37
What's the Least Common Multiple (LCM) of 21 and 37?
(Seven hundred seventy-seven)
Finding LCM for 21 and 37 using GCF's of these numbers
The first method to find LCM for numbers 21 and 37 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 21 and 37 is 1, so
LCM = (21 × 37) ÷ 1
LCM = 777 ÷ 1
LCM = 777
Finding LCM for 21 and 37 by Listing Multiples
The second method to find LCM for numbers 21 and 37 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567, 588, 609, 630, 651, 672, 693, 714, 735, 756, 777, 798, 819
Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851
So the LCM for 21 and 37 is 777
Finding LCM for 21 and 37 by Prime Factorization
Another method to find LCM for numbers 21 and 37 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 21: 3, 7 (exponent form: 31, 71)
All Prime Factors of 37: 37 (exponent form: 371)
31 × 71 × 371 = 777
Related Calculations
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