LCM for 20 and 46
What's the Least Common Multiple (LCM) of 20 and 46?
Answer
(Four hundred sixty)
Finding LCM for 20 and 46 using GCF of these numbers
The first method to find LCM for numbers 20 and 46 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 20 and 46 is 2, so
LCM = (20 × 46) ÷ 2
LCM = 920 ÷ 2
LCM = 460
Finding LCM for 20 and 46 by Listing Multiples
The second method to find LCM for numbers 20 and 46 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500
Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552
So the LCM for 20 and 46 is 460
Finding LCM for 20 and 46 by Prime Factorization
Another method to find LCM for numbers 20 and 46 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)
All Prime Factors of 46: 2, 23 (exponent form: 21, 231)
22 × 51 × 231 = 460
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999

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