LCM for 150 and 250

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 150 and 250?

Answer

LCM of 150 and 250 is
750

(Seven hundred fifty)

Finding LCM for 150 and 250 using GCF of these numbers

The first method to find LCM for numbers 150 and 250 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 150 and 250 is 50, so

LCM = (150 × 250) ÷ 50

LCM = 37,500 ÷ 50

LCM = 750

Finding LCM for 150 and 250 by Listing Multiples

The second method to find LCM for numbers 150 and 250 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 150: 150, 300, 450, 600, 750, 900, 1,050

Multiples of 250: 250, 500, 750, 1,000, 1,250

So the LCM for 150 and 250 is 750

Finding LCM for 150 and 250 by Prime Factorization

Another method to find LCM for numbers 150 and 250 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

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

21 × 31 × 53 = 750

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 150 and 250? (The answer is: 750). Select the first number (e.g. '150') and the second number (e.g. '250'). 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
1502357,050
15023617,700
15023711,850
15023817,850
15023935,850
1502401,200
15024136,150
15024218,150
15024312,150
15024418,300
1502457,350
1502466,150
15024737,050
15024818,600
15024912,450
150250750
15025137,650
1502526,300
15025337,950
15025419,050
1502552,550
15025619,200
15025738,550
1502586,450
15025938,850
1502603,900
15026113,050
15026219,650
15026339,450
1502646,600

FAQ

What's the Least Common Multiple (LCM) of 150 and 250?

LCM of 150 and 250 is 750

How to find the LCM of 150 and 250 using prime factorization?

To find the LCM of 150 and 250, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 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 150 and 250: LCM = 750, GCF = 50.

See Also