LCM for 32 and 39
What's the Least Common Multiple (LCM) of 32 and 39?
Answer
(One thousand, two hundred forty-eight)
Finding LCM for 32 and 39 using GCF of these numbers
The first method to find LCM for numbers 32 and 39 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 32 and 39 is 1, so
LCM = (32 × 39) ÷ 1
LCM = 1248 ÷ 1
LCM = 1248
Finding LCM for 32 and 39 by Listing Multiples
The second method to find LCM for numbers 32 and 39 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, 1280, 1312
Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780, 819, 858, 897, 936, 975, 1014, 1053, 1092, 1131, 1170, 1209, 1248, 1287, 1326
So the LCM for 32 and 39 is 1248
Finding LCM for 32 and 39 by Prime Factorization
Another method to find LCM for numbers 32 and 39 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 39: 3, 13 (exponent form: 31, 131)
25 × 31 × 131 = 1248
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--39">What is the LCM of 32 and 39? - 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