LCM for 100 and 150

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 150?

Answer

LCM of 100 and 150 is 300

(Three hundred)

Finding LCM for 100 and 150 using GCF of these numbers

The first method to find LCM for numbers 100 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 150 is 50, so

LCM = (100 × 150) ÷ 50

LCM = 15000 ÷ 50

LCM = 300

Finding LCM for 100 and 150 by Listing Multiples

The second method to find LCM for numbers 100 and 150 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500

Multiples of 150: 150, 300, 450, 600

So the LCM for 100 and 150 is 300

Finding LCM for 100 and 150 by Prime Factorization

Another method to find LCM for numbers 100 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

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

22 × 52 × 31 = 300

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 100 and 150? (The answer is: 300). Select the first number (e.g. '100') and the second number (e.g. '150'). 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
851502550
861506450
871504350
881506600
8915013350
90150450
9115013650
921506900
931504650
941507050
951502850
961502400
9715014550
981507350
991504950
100150300
10115015150
1021502550
10315015450
1041507800
1051501050
1061507950
10715016050
1081502700
10915016350
1101501650
1111505550
1121508400
11315016950
1141502850

FAQ

What's the Least Common Multiple (LCM) of 100 and 150?

LCM of 100 and 150 is 300

How to find the LCM of 100 and 150 using prime factorization?

To find the LCM of 100 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 100 and 150: LCM = 300, GCF = 50.

See Also