LCM for 315 and 180

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What's the Least Common Multiple (LCM) of 315 and 180?

Answer

LCM of 315 and 180 is
1,260

First common multiples: 1,260; 2,520; 3,780; …

1,260 is divisible by both: 1,260 ÷ 315 = 4; 1,260 ÷ 180 = 7 — and 4 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/315 by 4 and of y/180 by 7.

315 = 32 × 5 × 7

180 = 22 × 32 × 5

Prime315180Highest power
2—2222
3323232
5555
77—7

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

LCM = 22 × 32 × 5 × 7 = 1,260

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
3151653,465
31516652,290
31516752,605
3151682,520
31516953,235
31517010,710
3151715,985
31517254,180
31517354,495
31517418,270
3151751,575
31517655,440
31517718,585
31517856,070
31517956,385
3151801,260
31518157,015
3151828,190
31518319,215
31518457,960
31518511,655
31518619,530
31518758,905
31518859,220
315189945
31519011,970
31519160,165
31519220,160
31519360,795
31519461,110

FAQ

What's the Least Common Multiple (LCM) of 315 and 180?

LCM of 315 and 180 is 1,260

How to find the LCM of 315 and 180 using prime factorization?

To find the LCM of 315 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

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 315 and 180: LCM = 1,260, GCF = 45.

See Also