LCM for 40 and 60
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 40 and 60?
(One hundred twenty)
Finding LCM for 40 and 60 using GCF's of these numbers
The first method to find LCM for numbers 40 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 60 is 20, so
LCM = (40 × 60) ÷ 20
LCM = 2400 ÷ 20
LCM = 120
Finding LCM for 40 and 60 by Listing Multiples
The second method to find LCM for numbers 40 and 60 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 40: 40, 80, 120, 160, 200
Multiples of 60: 60, 120, 180, 240
So the LCM for 40 and 60 is 120
Finding LCM for 40 and 60 by Prime Factorization
Another method to find LCM for numbers 40 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
23 × 51 × 31 = 120
Related Calculations
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 40 and 60?
See Also
- What is the LCM of 39 and 55?
- What is the LCM of 39 and 65?
- What is the LCM of 39 and 78?
- What is the LCM of 39 and 91?
- What is the LCM of 39 and 104?
- What is the LCM of 40 and 44?
- What is the LCM of 40 and 45?
- What is the LCM of 40 and 50?
- What is the LCM of 40 and 55?
- What is the LCM of 40 and 56?
- What is the LCM of 40 and 64?
- What is the LCM of 40 and 65?
- What is the LCM of 40 and 90?
- What is the LCM of 40 and 100?
- What is the LCM of 40 and 144?
- What is the LCM of 40 and 150?
- What is the LCM of 40 and 160?
- What is the LCM of 40 and 180?
- What is the LCM of 40 and 220?
- What is the LCM of 40 and 300?
- Наименьшее общее кратное 40 и 60