LCM for 70 and 300

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 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 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, 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

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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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
553003300
563004200
573005700
583008700
5930017700
60300300
6130018300
623009300
633006300
643004800
653003900
663003300
6730020100
683005100
693006900
703002100
7130021300
723001800
7330021900
7430011100
75300300
763005700
7730023100
783003900
7930023700
803001200
813008100
8230012300
8330024900
843002100

FAQ

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

LCM of 70 and 300 is 2,100

How to find the LCM of 70 and 300 using prime factorization?

To find the LCM of 70 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,100.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 70 and 300: LCM = 2,100, GCF = 10.

See Also