LCM for 70 and 300

What's the Least Common Multiple (LCM) of 70 and 300?

Answer: LCM of 70 and 300 is 2,100

(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

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 70 and 300? (The answer is: 2100). Select the first number (e.g. '70') and the second number (e.g. '300'). After that hit the 'Calculate' button.
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

Number 1Number 2LCM
553003300
563004200
573005700
583008700
5930017700
60300300
6130018300
623009300
633006300
643004800
653003900
663003300
6730020100
683005100
693006900
70300
7130021300
723001800
7330021900
7430011100
75300300
763005700
7730023100
783003900
7930023700
80300
813008100
8230012300
8330024900
843002100

FAQ

What's the Least Common Multiple (LCM) of 70 and 300?

LCM of 70 and 300 is 2,100