LCM for 38 and 56
What's the Least Common Multiple (LCM) of 38 and 56?
Answer
(One thousand, sixty-four)
Finding LCM for 38 and 56 using GCF of these numbers
The first method to find LCM for numbers 38 and 56 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 38 and 56 is 2, so
LCM = (38 × 56) ÷ 2
LCM = 2128 ÷ 2
LCM = 1064
Finding LCM for 38 and 56 by Listing Multiples
The second method to find LCM for numbers 38 and 56 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 38: 38, 76, 114, 152, 190, 228, 266, 304, 342, 380, 418, 456, 494, 532, 570, 608, 646, 684, 722, 760, 798, 836, 874, 912, 950, 988, 1026, 1064, 1102, 1140
Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176
So the LCM for 38 and 56 is 1064
Finding LCM for 38 and 56 by Prime Factorization
Another method to find LCM for numbers 38 and 56 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 38: 2, 19 (exponent form: 21, 191)
All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)
23 × 191 × 71 = 1064
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/38--56">What is the LCM of 38 and 56? - 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