LCM for 39 and 42
What's the Least Common Multiple (LCM) of 39 and 42?
Answer
(Five hundred forty-six)
Finding LCM for 39 and 42 using GCF of these numbers
The first method to find LCM for numbers 39 and 42 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 39 and 42 is 3, so
LCM = (39 × 42) ÷ 3
LCM = 1638 ÷ 3
LCM = 546
Finding LCM for 39 and 42 by Listing Multiples
The second method to find LCM for numbers 39 and 42 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624
Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630
So the LCM for 39 and 42 is 546
Finding LCM for 39 and 42 by Prime Factorization
Another method to find LCM for numbers 39 and 42 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 39: 3, 13 (exponent form: 31, 131)
All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)
31 × 131 × 21 × 71 = 546
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/39--42">What is the LCM of 39 and 42? - 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