LCM for 45 and 70
What's the Least Common Multiple (LCM) of 45 and 70?
Answer
(Six hundred thirty)
Finding LCM for 45 and 70 using GCF of these numbers
The first method to find LCM for numbers 45 and 70 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 45 and 70 is 5, so
LCM = (45 × 70) ÷ 5
LCM = 3150 ÷ 5
LCM = 630
Finding LCM for 45 and 70 by Listing Multiples
The second method to find LCM for numbers 45 and 70 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720
Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770
So the LCM for 45 and 70 is 630
Finding LCM for 45 and 70 by Prime Factorization
Another method to find LCM for numbers 45 and 70 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)
All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)
32 × 51 × 21 × 71 = 630
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/45--70">What is the LCM of 45 and 70? - Calculatio</a>
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