LCM for 32 and 37
What's the Least Common Multiple (LCM) of 32 and 37?
Answer
(One thousand, one hundred eighty-four)
Finding LCM for 32 and 37 using GCF of these numbers
The first method to find LCM for numbers 32 and 37 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 32 and 37 is 1, so
LCM = (32 × 37) ÷ 1
LCM = 1184 ÷ 1
LCM = 1184
Finding LCM for 32 and 37 by Listing Multiples
The second method to find LCM for numbers 32 and 37 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800, 832, 864, 896, 928, 960, 992, 1024, 1056, 1088, 1120, 1152, 1184, 1216, 1248
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, 888, 925, 962, 999, 1036, 1073, 1110, 1147, 1184, 1221, 1258
So the LCM for 32 and 37 is 1184
Finding LCM for 32 and 37 by Prime Factorization
Another method to find LCM for numbers 32 and 37 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)
All Prime Factors of 37: 37 (exponent form: 371)
25 × 371 = 1184
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/32--37">What is the LCM of 32 and 37? - Calculatio</a>
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