LCM for 153 and 204

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What's the Least Common Multiple (LCM) of 153 and 204?

Answer

LCM of 153 and 204 is
612

(Six hundred twelve)

Finding LCM for 153 and 204 using GCF of these numbers

The first method to find LCM for numbers 153 and 204 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 153 and 204 is 51, so

LCM = (153 × 204) ÷ 51

LCM = 31,212 ÷ 51

LCM = 612

Finding LCM for 153 and 204 by Listing Multiples

The second method to find LCM for numbers 153 and 204 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 153: 153, 306, 459, 612, 765, 918

Multiples of 204: 204, 408, 612, 816, 1020

So the LCM for 153 and 204 is 612

Finding LCM for 153 and 204 by Prime Factorization

Another method to find LCM for numbers 153 and 204 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 153: 3, 3, 17 (exponent form: 32, 171)

All Prime Factors of 204: 2, 2, 3, 17 (exponent form: 22, 31, 171)

32 × 171 × 22 = 612

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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 153 and 204? (The answer is: 612). Select the first number (e.g. '153') and the second number (e.g. '204'). 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
1531893,213
15319029,070
15319129,223
1531929,792
15319329,529
15319429,682
1531959,945
15319629,988
15319730,141
1531983,366
15319930,447
15320030,600
15320110,251
15320230,906
15320331,059
153204612
15320531,365
15320631,518
1532073,519
15320831,824
15320931,977
15321010,710
15321132,283
15321232,436
15321310,863
15321432,742
15321532,895
1532163,672
15321733,201
15321833,354

FAQ

What's the Least Common Multiple (LCM) of 153 and 204?

LCM of 153 and 204 is 612

How to find the LCM of 153 and 204 using prime factorization?

To find the LCM of 153 and 204, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 612.

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 153 and 204: LCM = 612, GCF = 51.

See Also