LCM for 3 and 52
What's the Least Common Multiple (LCM) of 3 and 52?
Answer
(One hundred fifty-six)
Finding LCM for 3 and 52 using GCF of these numbers
The first method to find LCM for numbers 3 and 52 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 3 and 52 is 1, so
LCM = (3 × 52) ÷ 1
LCM = 156 ÷ 1
LCM = 156
Finding LCM for 3 and 52 by Listing Multiples
The second method to find LCM for numbers 3 and 52 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162
Multiples of 52: 52, 104, 156, 208, 260
So the LCM for 3 and 52 is 156
Finding LCM for 3 and 52 by Prime Factorization
Another method to find LCM for numbers 3 and 52 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 3: 3 (exponent form: 31)
All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)
31 × 22 × 131 = 156
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/3--52">What is the LCM of 3 and 52? - 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