LCM for 70 and 300
What's the Least Common Multiple (LCM) of 70 and 300?
(Two thousand, one hundred)
Finding LCM for 70 and 300 using GCF's of these numbers
The first method to find LCM for numbers 70 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 70 and 300 is 10, so
LCM = (70 × 300) ÷ 10
LCM = 21000 ÷ 10
LCM = 2100
Finding LCM for 70 and 300 by Listing Multiples
The second method to find LCM for numbers 70 and 300 is to list out the common multiples for both nubmers and pick the first which matching:
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, 1610, 1680, 1750, 1820, 1890, 1960, 2030, 2100, 2170, 2240
Multiples of 300: 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700
So the LCM for 70 and 300 is 2100
Finding LCM for 70 and 300 by Prime Factorization
Another method to find LCM for numbers 70 and 300 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 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)
22 × 52 × 71 × 31 = 2100
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--300">What is the LCM of 70 and 300? - 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