What is the LCM of 48 and 90?

What's the Least Common Multiple (LCM) of 48 and 90?

Answer

LCM of 48 and 90 is

720

First common multiples: 720; 1,440; 2,160; …

720 is divisible by both: 720 ÷ 48 = 15, 720 ÷ 90 = 8 — and 15 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/48 by 15 and of y/90 by 8.

48 = 2⁴ × 3

90 = 2 × 3² × 5

Prime	48	90	Highest power
2	2⁴	2	2⁴
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 = 2⁴ × 3² × 5 = 720

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/48--90

<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/48--90">What is the LCM of 48 and 90? - Calculatio</a>

Facebook

Twitter

Viber

Email

What is the LCM of 48 and 90? The LCM of 48 and 90 is 720 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/48--90/generated.jpg

LCM Table

Number 1	Number 2	LCM
48	12	48
48	32	96
48	36	144
48	50	1,200
48	52	624
48	54	432
48	56	336
48	57	912
48	58	1,392
48	60	240
48	66	528
48	72	144
48	75	1,200
48	80	240
48	81	1,296
48	84	336
48	90	720
48	96	96
48	99	1,584
48	100	1,200
48	120	240
48	128	384
48	168	336
48	450	3,600

LCM for 48 and 90

What's the Least Common Multiple (LCM) of 48 and 90?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 48 and 90?

How to find the LCM of 48 and 90 using prime factorization?

What is the difference between LCM and GCF?

See Also