LCM for 70 and 125

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 70 and 125?

Answer

LCM of 70 and 125 is 1,750

(One thousand, seven hundred fifty)

Finding LCM for 70 and 125 using GCF of these numbers

The first method to find LCM for numbers 70 and 125 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 125 is 5, so

LCM = (70 × 125) ÷ 5

LCM = 8750 ÷ 5

LCM = 1750

Finding LCM for 70 and 125 by Listing Multiples

The second method to find LCM for numbers 70 and 125 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

Multiples of 125: 125, 250, 375, 500, 625, 750, 875, 1000, 1125, 1250, 1375, 1500, 1625, 1750, 1875, 2000

So the LCM for 70 and 125 is 1750

Finding LCM for 70 and 125 by Prime Factorization

Another method to find LCM for numbers 70 and 125 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 125: 5, 5, 5 (exponent form: 53)

21 × 53 × 71 = 1750

Related Calculations

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 125? (The answer is: 1750). Select the first number (e.g. '70') and the second number (e.g. '125'). 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
551251375
561257000
571257125
581257250
591257375
601251500
611257625
621257750
631257875
641258000
651251625
661258250
671258375
681258500
691258625
701251750
711258875
721259000
731259125
741259250
75125375
761259500
771259625
781259750
791259875
801252000
8112510125
8212510250
8312510375
8412510500

FAQ

What's the Least Common Multiple (LCM) of 70 and 125?

LCM of 70 and 125 is 1,750

How to find the LCM of 70 and 125 using prime factorization?

To find the LCM of 70 and 125, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,750.

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 125: LCM = 1,750, GCF = 5.

See Also