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LCM for 30 and 45

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 45?

Answer

LCM of 30 and 45 is 90

(Ninety)

Finding LCM for 30 and 45 using GCF of these numbers

The first method to find LCM for numbers 30 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 45 is 15, so

LCM = (30 × 45) ÷ 15

LCM = 1350 ÷ 15

LCM = 90

Finding LCM for 30 and 45 by Listing Multiples

The second method to find LCM for numbers 30 and 45 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 30: 30, 60, 90, 120, 150

Multiples of 45: 45, 90, 135, 180

So the LCM for 30 and 45 is 90

Finding LCM for 30 and 45 by Prime Factorization

Another method to find LCM for numbers 30 and 45 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

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

21 × 32 × 51 = 90

Related Calculations

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What is the LCM of 30 and 45?. The LCM of 30 and 45 is 90 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
3031930
3033330
3034510
3035210
3036180
30371110
3038570
3040120
3042210
30431290
304590
3046690
3050150
3055330
3056840
3057570
3058870
306060
30100300
30105210
30110330
30120120
30145870
30155930
30165330
30170510
30180180
301851110
30195390
302151290

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 30 and 45? (The answer is: 90). Select the first number (e.g. '30') 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 30 and 45?

LCM of 30 and 45 is 90

How to find the LCM of 30 and 45 using prime factorization?

To find the LCM of 30 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 90.

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 30 and 45: LCM = 90, GCF = 15.

See Also