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LCM for 42 and 45

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 42 and 45?

Answer

LCM of 42 and 45 is 630

(Six hundred thirty)

Finding LCM for 42 and 45 using GCF of these numbers

The first method to find LCM for numbers 42 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 45 is 3, so

LCM = (42 × 45) ÷ 3

LCM = 1890 ÷ 3

LCM = 630

Finding LCM for 42 and 45 by Listing Multiples

The second method to find LCM for numbers 42 and 45 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720

So the LCM for 42 and 45 is 630

Finding LCM for 42 and 45 by Prime Factorization

Another method to find LCM for numbers 42 and 45 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

21 × 32 × 71 × 51 = 630

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What is the LCM of 42 and 45?. The LCM of 42 and 45 is 630 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
422884
4244924
4245630
4248336
4249294
42501050
42521092
42532226
4256168
42581218
4260420
4266462
4291546
42105210
42126126
4213652730

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 42 and 45? (The answer is: 630). Select the first number (e.g. '42') and the second number (e.g. '45'). 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 42 and 45?

LCM of 42 and 45 is 630

How to find the LCM of 42 and 45 using prime factorization?

To find the LCM of 42 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 630.

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 42 and 45: LCM = 630, GCF = 3.

See Also