LCM for 4 and 100
What's the Least Common Multiple (LCM) of 4 and 100?
(Hundred)
Finding LCM for 4 and 100 using GCF's of these numbers
The first method to find LCM for numbers 4 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 4 and 100 is 4, so
LCM = (4 × 100) ÷ 4
LCM = 400 ÷ 4
LCM = 100
Finding LCM for 4 and 100 by Listing Multiples
The second method to find LCM for numbers 4 and 100 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108
Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, [...], 100
So the LCM for 4 and 100 is 100
Finding LCM for 4 and 100 by Prime Factorization
Another method to find LCM for numbers 4 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 4: 2, 2 (exponent form: 22)
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
22 × 52 = 100
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/4--100">What is the LCM of 4 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