LCM for 150 and 275

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What's the Least Common Multiple (LCM) of 150 and 275?

Answer

LCM of 150 and 275 is
1,650

(One thousand six hundred fifty)

Finding LCM for 150 and 275 using GCF of these numbers

The first method to find LCM for numbers 150 and 275 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 150 and 275 is 25, so

LCM = (150 × 275) ÷ 25

LCM = 41,250 ÷ 25

LCM = 1,650

Finding LCM for 150 and 275 by Listing Multiples

The second method to find LCM for numbers 150 and 275 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, 1,200, 1,350, 1,500, 1,650, 1,800, 1,950

Multiples of 275: 275, 550, 825, 1,100, 1,375, 1,650, 1,925, 2,200

So the LCM for 150 and 275 is 1,650

Finding LCM for 150 and 275 by Prime Factorization

Another method to find LCM for numbers 150 and 275 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 275: 5, 5, 11 (exponent form: 52, 111)

21 × 31 × 52 × 111 = 1,650

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 275? (The answer is: 1,650). Select the first number (e.g. '150') and the second number (e.g. '275'). 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
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LCM Table

Number 1Number 2LCM
1502603,900
15026113,050
15026219,650
15026339,450
1502646,600
1502657,950
15026619,950
15026713,350
15026820,100
15026940,350
1502701,350
15027140,650
15027220,400
15027313,650
15027420,550
1502751,650
1502766,900
15027741,550
15027820,850
15027913,950
1502804,200
15028142,150
1502827,050
15028342,450
15028421,300
1502852,850
15028621,450
15028743,050
1502887,200
15028943,350

FAQ

What's the Least Common Multiple (LCM) of 150 and 275?

LCM of 150 and 275 is 1,650

How to find the LCM of 150 and 275 using prime factorization?

To find the LCM of 150 and 275, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,650.

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 275: LCM = 1,650, GCF = 25.

See Also