LCM for 220 and 420

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What's the Least Common Multiple (LCM) of 220 and 420?

Answer

LCM of 220 and 420 is
4,620

First common multiples: 4,620; 9,240; 13,860; …

4,620 is divisible by both: 4,620 ÷ 220 = 21; 4,620 ÷ 420 = 11 — and 21 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/220 by 21 and of y/420 by 11.

220 = 22 × 5 × 11

420 = 22 × 3 × 5 × 7

Prime220420Highest power
2222222
3—33
5555
7—77
1111—11

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

LCM = 22 × 3 × 5 × 7 × 11 = 4,620

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
22040517,820
22040644,660
2204078,140
22040822,440
22040989,980
2204109,020
22041190,420
22041222,660
22041390,860
22041445,540
22041518,260
22041622,880
22041791,740
2204184,180
22041992,180
2204204,620
22042192,620
22042246,420
22042393,060
22042423,320
22042518,700
22042646,860
22042793,940
22042823,540
2204298,580
2204309,460
22043194,820
22043223,760
22043395,260
22043447,740

FAQ

What's the Least Common Multiple (LCM) of 220 and 420?

LCM of 220 and 420 is 4,620

How to find the LCM of 220 and 420 using prime factorization?

To find the LCM of 220 and 420, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,620.

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 220 and 420: LCM = 4,620, GCF = 20.

See Also