LCM for 5 and 42
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 5 and 42?
Answer
(Two hundred ten)
Finding LCM for 5 and 42 using GCF of these numbers
The first method to find LCM for numbers 5 and 42 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 5 and 42 is 1, so
LCM = (5 × 42) ÷ 1
LCM = 210 ÷ 1
LCM = 210
Finding LCM for 5 and 42 by Listing Multiples
The second method to find LCM for numbers 5 and 42 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220
Multiples of 42: 42, 84, 126, 168, 210, 252, 294
So the LCM for 5 and 42 is 210
Finding LCM for 5 and 42 by Prime Factorization
Another method to find LCM for numbers 5 and 42 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 5: 5 (exponent form: 51)
All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)
51 × 21 × 31 × 71 = 210
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 5 and 42?
How to find the LCM of 5 and 42 using prime factorization?
What is the difference between LCM and GCF?
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