LCM for 120 and 210

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What's the Least Common Multiple (LCM) of 120 and 210?

Answer

LCM of 120 and 210 is
840

First common multiples: 840; 1,680; 2,520; …

840 is divisible by both: 840 ÷ 120 = 7, 840 ÷ 210 = 4 — and 7 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/120 by 7 and of y/210 by 4.

120 = 23 × 3 × 5

210 = 2 × 3 × 5 × 7

Prime120210Highest power
223223
3333
5555
7—77

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

LCM = 23 × 3 × 5 × 7 = 840

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1201951,560
1201965,880
12019723,640
1201983,960
12019923,880
120200600
1202018,040
12020212,120
12020324,360
1202042,040
1202054,920
12020612,360
1202078,280
1202083,120
12020925,080
120210840
12021125,320
1202126,360
1202138,520
12021412,840
1202155,160
1202161,080
12021726,040
12021813,080
1202198,760
1202201,320
12022126,520
1202224,440
12022326,760
1202243,360

FAQ

What's the Least Common Multiple (LCM) of 120 and 210?

LCM of 120 and 210 is 840

How to find the LCM of 120 and 210 using prime factorization?

To find the LCM of 120 and 210, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

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 120 and 210: LCM = 840, GCF = 30.

See Also