LCM for 6 and 100
What's the Least Common Multiple (LCM) of 6 and 100?
Answer
(Three hundred)
Finding LCM for 6 and 100 using GCF of these numbers
The first method to find LCM for numbers 6 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 100 is 2, so
LCM = (6 × 100) ÷ 2
LCM = 600 ÷ 2
LCM = 300
Finding LCM for 6 and 100 by Listing Multiples
The second method to find LCM for numbers 6 and 100 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 306, 312
Multiples of 100: 100, 200, 300, 400, 500
So the LCM for 6 and 100 is 300
Finding LCM for 6 and 100 by Prime Factorization
Another method to find LCM for numbers 6 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 31)
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
22 × 31 × 52 = 300
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/6--100">What is the LCM of 6 and 100? - 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