LCM for 2 and 90
What's the Least Common Multiple (LCM) of 2 and 90?
(Ninety)
Finding LCM for 2 and 90 using GCF's of these numbers
The first method to find LCM for numbers 2 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 2 and 90 is 2, so
LCM = (2 × 90) ÷ 2
LCM = 180 ÷ 2
LCM = 90
Finding LCM for 2 and 90 by Listing Multiples
The second method to find LCM for numbers 2 and 90 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
Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440, 1530, 1620, 1710, 1800, 1890, 1980, 2070, 2160, 2250, 2340, 2430, 2520, 2610, 2700, 2790, 2880, 2970, 3060, 3150, 3240, 3330, 3420, 3510, 3600, 3690, 3780, 3870, 3960, 4050, 4140, 4230, [...], 90
So the LCM for 2 and 90 is 90
Finding LCM for 2 and 90 by Prime Factorization
Another method to find LCM for numbers 2 and 90 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 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)
21 × 32 × 51 = 90
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