What is the LCM of 15 and 18?

What's the Least Common Multiple (LCM) of 15 and 18?

Answer

LCM of 15 and 18 is

90

First common multiples: 90, 180, 270, …

90 is divisible by both: 90 ÷ 15 = 6, 90 ÷ 18 = 5 — and 6 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/15 by 6 and of y/18 by 5.

15 = 3 × 5

18 = 2 × 3²

Prime	15	18	Highest power
2	—	2	2
3	3	3²	3²
5	5	—	5

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 3² × 5 = 90

More with these numbers

Related Calculations

Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Multiples of a Number - List the first 10 multiples of any number from 1 to 999

Share This Calculation

Print

https://calculat.io/en/number/least-common-multiple-lcm-of/15--18

<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/15--18">What is the LCM of 15 and 18? - Calculatio</a>

Facebook

Twitter

Viber

Email

What is the LCM of 15 and 18? The LCM of 15 and 18 is 90 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/15--18/generated.jpg

LCM Table

Number 1	Number 2	LCM
15	5	15
15	6	30
15	9	45
15	10	30
15	12	60
15	16	240
15	18	90
15	19	285
15	20	60
15	21	105
15	22	330
15	24	120
15	25	75
15	26	390
15	27	135
15	28	420
15	30	30
15	31	465
15	33	165
15	34	510
15	35	105
15	36	180
15	37	555
15	39	195
15	40	120
15	43	645
15	45	45
15	46	690
15	47	705
15	50	150

LCM for 15 and 18

What's the Least Common Multiple (LCM) of 15 and 18?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 15 and 18?

How to find the LCM of 15 and 18 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
15	5	15
15	6	30
15	9	45
15	10	30
15	12	60
15	16	240
15	18	90
15	19	285
15	20	60
15	21	105
15	22	330
15	24	120
15	25	75
15	26	390
15	27	135
15	28	420
15	30	30
15	31	465
15	33	165
15	34	510
15	35	105
15	36	180
15	37	555
15	39	195
15	40	120
15	43	645
15	45	45
15	46	690
15	47	705
15	50	150

Number 1	Number 2	LCM
15	5	15
15	6	30
15	9	45
15	10	30
15	12	60
15	16	240
15	18	90
15	19	285
15	20	60
15	21	105
15	22	330
15	24	120
15	25	75
15	26	390
15	27	135
15	28	420
15	30	30
15	31	465
15	33	165
15	34	510
15	35	105
15	36	180
15	37	555
15	39	195
15	40	120
15	43	645
15	45	45
15	46	690
15	47	705
15	50	150

Number 1	Number 2	LCM
15	5	15
15	6	30
15	9	45
15	10	30
15	12	60
15	16	240
15	18	90
15	19	285
15	20	60
15	21	105
15	22	330
15	24	120
15	25	75
15	26	390
15	27	135
15	28	420
15	30	30
15	31	465
15	33	165
15	34	510
15	35	105
15	36	180
15	37	555
15	39	195
15	40	120
15	43	645
15	45	45
15	46	690
15	47	705
15	50	150