LCM for 250 and 300

What's the Least Common Multiple (LCM) of 250 and 300?

Answer: LCM of 250 and 300 is 1,500

(One thousand, five hundred)

Finding LCM for 250 and 300 using GCF's of these numbers

The first method to find LCM for numbers 250 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 250 and 300 is 50, so

LCM = (250 × 300) ÷ 50

LCM = 75000 ÷ 50

LCM = 1500

Finding LCM for 250 and 300 by Listing Multiples

The second method to find LCM for numbers 250 and 300 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 250: 250, 500, 750, 1000, 1250, 1500, 1750, 2000

Multiples of 300: 300, 600, 900, 1200, 1500, 1800, 2100

So the LCM for 250 and 300 is 1500

Finding LCM for 250 and 300 by Prime Factorization

Another method to find LCM for numbers 250 and 300 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 250: 2, 5, 5, 5 (exponent form: 21, 53)

All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

22 × 53 × 31 = 1500

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 250 and 300? (The answer is: 1500). Select the first number (e.g. '250') 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
23530014100
23630017700
23730023700
23830035700
23930071700
2403001200
24130072300
24230036300
24330024300
24430018300
24530014700
24630012300
24730074100
24830018600
24930024900
250300
25130075300
2523006300
25330075900
25430038100
2553005100
25630019200
25730077100
25830012900
25930077700
2603003900
26130026100
26230039300
26330078900
2643006600

FAQ

What's the Least Common Multiple (LCM) of 250 and 300?

LCM of 250 and 300 is 1,500