LCM for 168 and 180

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What's the Least Common Multiple (LCM) of 168 and 180?

Answer

LCM of 168 and 180 is
2,520

First common multiples: 2,520; 5,040; 7,560; …

2,520 is divisible by both: 2,520 ÷ 168 = 15; 2,520 ÷ 180 = 14 — and 15 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/168 by 15 and of y/180 by 14.

168 = 23 × 3 × 7

180 = 22 × 32 × 5

Prime168180Highest power
2232223
333232
5—55
77—7

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

LCM = 23 × 32 × 5 × 7 = 2,520

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1681659,240
16816613,944
16816728,056
168168168
16816928,392
16817014,280
1681719,576
1681727,224
16817329,064
1681744,872
1681754,200
1681763,696
1681779,912
16817814,952
16817930,072
1681802,520
16818130,408
1681822,184
16818310,248
1681843,864
16818531,080
1681865,208
16818731,416
1681887,896
1681891,512
16819015,960
16819132,088
1681921,344
16819332,424
16819416,296

FAQ

What's the Least Common Multiple (LCM) of 168 and 180?

LCM of 168 and 180 is 2,520

How to find the LCM of 168 and 180 using prime factorization?

To find the LCM of 168 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,520.

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 168 and 180: LCM = 2,520, GCF = 12.

See Also