LCM for 70 and 200
What's the Least Common Multiple (LCM) of 70 and 200?
Answer
(One thousand, four hundred)
Finding LCM for 70 and 200 using GCF of these numbers
The first method to find LCM for numbers 70 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 70 and 200 is 10, so
LCM = (70 × 200) ÷ 10
LCM = 14000 ÷ 10
LCM = 1400
Finding LCM for 70 and 200 by Listing Multiples
The second method to find LCM for numbers 70 and 200 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540
Multiples of 200: 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800
So the LCM for 70 and 200 is 1400
Finding LCM for 70 and 200 by Prime Factorization
Another method to find LCM for numbers 70 and 200 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)
All Prime Factors of 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)
23 × 52 × 71 = 1400
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/70--200">What is the LCM of 70 and 200? - 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