LCM for 225 and 315

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What's the Least Common Multiple (LCM) of 225 and 315?

Answer

LCM of 225 and 315 is
1,575

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

1,575 is divisible by both: 1,575 ÷ 225 = 7; 1,575 ÷ 315 = 5 — and 7 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/225 by 7 and of y/315 by 5.

225 = 32 × 52

315 = 32 × 5 × 7

Prime225315Highest power
3323232
552552
7—77

— = 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

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
225300900
22530167,725
22530267,950
22530322,725
22530468,400
22530513,725
2253067,650
22530769,075
22530869,300
22530923,175
22531013,950
22531169,975
22531223,400
22531370,425
22531470,650
2253151,575
22531671,100
22531771,325
22531823,850
22531971,775
22532014,400
22532124,075
22532272,450
22532372,675
2253248,100
2253252,925
22532673,350
22532724,525
22532873,800
22532974,025

FAQ

What's the Least Common Multiple (LCM) of 225 and 315?

LCM of 225 and 315 is 1,575

How to find the LCM of 225 and 315 using prime factorization?

To find the LCM of 225 and 315, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,575.

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 225 and 315: LCM = 1,575, GCF = 45.

See Also