LCM for 57 and 60
What's the Least Common Multiple (LCM) of 57 and 60?
Answer
(One thousand, one hundred forty)
Finding LCM for 57 and 60 using GCF of these numbers
The first method to find LCM for numbers 57 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 57 and 60 is 3, so
LCM = (57 × 60) ÷ 3
LCM = 3420 ÷ 3
LCM = 1140
Finding LCM for 57 and 60 by Listing Multiples
The second method to find LCM for numbers 57 and 60 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 57: 57, 114, 171, 228, 285, 342, 399, 456, 513, 570, 627, 684, 741, 798, 855, 912, 969, 1026, 1083, 1140, 1197, 1254
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260
So the LCM for 57 and 60 is 1140
Finding LCM for 57 and 60 by Prime Factorization
Another method to find LCM for numbers 57 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 57: 3, 19 (exponent form: 31, 191)
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
31 × 191 × 22 × 51 = 1140
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/57--60">What is the LCM of 57 and 60? - 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