What is the LCM of 45 and 30?

"Least Common Multiple" Calculator

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

Answer: LCM of 45 and 30 is 90

(Ninety)

Finding LCM for 45 and 30 using GCF's of these numbers

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

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 30 is 15, so

LCM = (45 × 30) ÷ 15

LCM = 1350 ÷ 15

LCM = 90

Finding LCM for 45 and 30 by Listing Multiples

The second method to find LCM for numbers 45 and 30 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 45: 45, 90, 135, 180

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

So the LCM for 45 and 30 is 90

Finding LCM for 45 and 30 by Prime Factorization

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

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

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

3² × 5¹ × 2¹ = 90

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

LCM Table

Number 1	Number 2	LCM
30	30	30
31	30	930
32	30	480
33	30	330
34	30	510
35	30	210
36	30	180
37	30	1110
38	30	570
39	30	390
40	30	120
41	30	1230
42	30	210
43	30	1290
44	30	660
45	30	90
46	30	690
47	30	1410
48	30	240
49	30	1470
50	30	150
51	30	510
52	30	780
53	30	1590
54	30	270
55	30	330
56	30	840
57	30	570
58	30	870
59	30	1770

LCM for 45 and 30

"Least Common Multiple" Calculator

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

Finding LCM for 45 and 30 using GCF's of these numbers

Finding LCM for 45 and 30 by Listing Multiples

Finding LCM for 45 and 30 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

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

See Also