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LCM for 7 and 18

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 7 and 18?

Answer

LCM of 7 and 18 is 126

(One hundred twenty-six)

Finding LCM for 7 and 18 using GCF of these numbers

The first method to find LCM for numbers 7 and 18 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 7 and 18 is 1, so

LCM = (7 × 18) ÷ 1

LCM = 126 ÷ 1

LCM = 126

Finding LCM for 7 and 18 by Listing Multiples

The second method to find LCM for numbers 7 and 18 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162

So the LCM for 7 and 18 is 126

Finding LCM for 7 and 18 by Prime Factorization

Another method to find LCM for numbers 7 and 18 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 7: 7 (exponent form: 71)

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

71 × 21 × 32 = 126

Related Calculations

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What is the LCM of 7 and 18?. The LCM of 7 and 18 is 126 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
7214
7428
7535
7856
7963
71070
71177
71284
71391
71414
715105
716112
717119
718126
719133
720140
72121
722154
724168
725175
726182
727189
72828
730210
731217
734238
73535
739273
741287
743301

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 7 and 18? (The answer is: 126). Select the first number (e.g. '7') and the second number (e.g. '18'). 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

FAQ

What's the Least Common Multiple (LCM) of 7 and 18?

LCM of 7 and 18 is 126

How to find the LCM of 7 and 18 using prime factorization?

To find the LCM of 7 and 18, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 126.

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 7 and 18: LCM = 126, GCF = 1.

See Also