LCM for 42 and 70
What's the Least Common Multiple (LCM) of 42 and 70?
Answer
(Two hundred ten)
Finding LCM for 42 and 70 using GCF of these numbers
The first method to find LCM for numbers 42 and 70 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 42 and 70 is 14, so
LCM = (42 × 70) ÷ 14
LCM = 2,940 ÷ 14
LCM = 210
Finding LCM for 42 and 70 by Listing Multiples
The second method to find LCM for numbers 42 and 70 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 42: 42, 84, 126, 168, 210, 252, 294
Multiples of 70: 70, 140, 210, 280, 350
So the LCM for 42 and 70 is 210
Finding LCM for 42 and 70 by Prime Factorization
Another method to find LCM for numbers 42 and 70 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)
All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)
21 × 31 × 71 × 51 = 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
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 42 and 70?
How to find the LCM of 42 and 70 using prime factorization?
What is the difference between LCM and GCF?
See Also
- What is the LCM of 42 and 45?
- What is the LCM of 42 and 48?
- What is the LCM of 42 and 49?
- What is the LCM of 42 and 50?
- What is the LCM of 42 and 52?
- What is the LCM of 42 and 53?
- What is the LCM of 42 and 56?
- What is the LCM of 42 and 58?
- What is the LCM of 42 and 60?
- What is the LCM of 42 and 65?
- What is the LCM of 42 and 72?
- What is the LCM of 42 and 80?
- What is the LCM of 42 and 84?
- What is the LCM of 42 and 86?
- What is the LCM of 42 and 90?
- What is the LCM of 42 and 96?
- What is the LCM of 42 and 98?
- What is the LCM of 42 and 100?
- What is the LCM of 42 and 105?
- What is the LCM of 42 and 126?
- Наименьшее общее кратное 42 и 70
- ¿Cuál es el MCM de 42 y 70?
- Qual é o MMC de 42 e 70?