LCM for 2 and 100
What's the Least Common Multiple (LCM) of 2 and 100?
(Hundred)
Finding LCM for 2 and 100 using GCF's of these numbers
The first method to find LCM for numbers 2 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 2 and 100 is 2, so
LCM = (2 × 100) ÷ 2
LCM = 200 ÷ 2
LCM = 100
Finding LCM for 2 and 100 by Listing Multiples
The second method to find LCM for numbers 2 and 100 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104
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, 2800, 2900, 3000, 3100, 3200, 3300, 3400, 3500, 3600, 3700, 3800, 3900, 4000, 4100, 4200, 4300, 4400, 4500, 4600, 4700, 4800, 4900, 5000, 5100, 5200, [...], 100
So the LCM for 2 and 100 is 100
Finding LCM for 2 and 100 by Prime Factorization
Another method to find LCM for numbers 2 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 2: 2 (exponent form: 21)
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
22 × 52 = 100
Related Calculations
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