LCM for 9 and 51

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What's the Least Common Multiple (LCM) of 9 and 51?

Answer

LCM of 9 and 51 is
153

(One hundred fifty-three)

Finding LCM for 9 and 51 using GCF of these numbers

The first method to find LCM for numbers 9 and 51 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 51 is 3, so

LCM = (9 × 51) ÷ 3

LCM = 459 ÷ 3

LCM = 153

Finding LCM for 9 and 51 by Listing Multiples

The second method to find LCM for numbers 9 and 51 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171

Multiples of 51: 51, 102, 153, 204, 255

So the LCM for 9 and 51 is 153

Finding LCM for 9 and 51 by Prime Factorization

Another method to find LCM for numbers 9 and 51 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 9: 3, 3 (exponent form: 32)

All Prime Factors of 51: 3, 17 (exponent form: 31, 171)

32 × 171 = 153

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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 9 and 51? (The answer is: 153). Select the first number (e.g. '9') and the second number (e.g. '51'). 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
Recalculate with different values ↑

LCM Table

Number 1Number 2LCM
92163
922198
92472
925225
92727
928252
929261
93090
932288
93399
935315
93636
938342
939117
940360
941369
943387
944396
94545
946414
948144
950450
951153
952468
957171
959531
96363
9100900
91211,089
9132396

FAQ

What's the Least Common Multiple (LCM) of 9 and 51?

LCM of 9 and 51 is 153

How to find the LCM of 9 and 51 using prime factorization?

To find the LCM of 9 and 51, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 153.

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 9 and 51: LCM = 153, GCF = 3.

See Also