What is the LCM of 105 and 225?

What's the Least Common Multiple (LCM) of 105 and 225?

Answer

LCM of 105 and 225 is

1,575

First common multiples: 1,575; 3,150; 4,725; …

1,575 is divisible by both: 1,575 ÷ 105 = 15; 1,575 ÷ 225 = 7 — and 15 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/105 by 15 and of y/225 by 7.

105 = 3 × 5 × 7

225 = 3² × 5²

Prime	105	225	Highest power
3	3	3²	3²
5	5	5²	5²
7	7	—	7

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

LCM = 3² × 5² × 7 = 1,575

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What is the LCM of 105 and 225? The LCM of 105 and 225 is 1,575 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/105--225/generated.jpg

LCM Table

Number 1	Number 2	LCM
105	120	840
105	126	630
105	130	2,730
105	147	735
105	150	1,050
105	154	2,310
105	165	1,155
105	170	3,570
105	175	525
105	189	945
105	195	1,365
105	225	1,575
105	245	735
105	462	2,310
105	770	2,310

LCM for 105 and 225

What's the Least Common Multiple (LCM) of 105 and 225?

More with these numbers

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 105 and 225?

How to find the LCM of 105 and 225 using prime factorization?

What is the difference between LCM and GCF?

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