LCM for 10 and 21

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What's the Least Common Multiple (LCM) of 10 and 21?

Answer

LCM of 10 and 21 is
210

First common multiples: 210, 420, 630, …

210 is divisible by both: 210 ÷ 10 = 21, 210 ÷ 21 = 10 — and 21 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 21 and of y/21 by 10.

10 and 21 are coprime (GCF = 1), so their LCM is simply the product: 10 × 21 = 210.

10 = 2 × 5

21 = 3 × 7

Prime1021Highest power
22—2
3—33
55—5
7—77

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

LCM = 2 × 3 × 5 × 7 = 210

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LCM Table

Number 1Number 2LCM
10510
10840
1011110
101260
1013130
101470
101530
101680
101890
1019190
102020
1021210
1022110
1023230
1024120
102550
1027270
103030
1031310
1034170
103570
1036180
1038190
104040
1041410
1043430
1044220
104590
1046230
1048240

FAQ

What's the Least Common Multiple (LCM) of 10 and 21?

LCM of 10 and 21 is 210

How to find the LCM of 10 and 21 using prime factorization?

To find the LCM of 10 and 21, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 210.

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 10 and 21: LCM = 210, GCF = 1.

See Also