LCM for 204 and 340

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 204 and 340?

Answer

LCM of 204 and 340 is
1,020

First common multiples: 1,020; 2,040; 3,060; …

1,020 is divisible by both: 1,020 ÷ 204 = 5; 1,020 ÷ 340 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/204 by 5 and of y/340 by 3.

204 = 22 × 3 × 17

340 = 22 × 5 × 17

Prime204340Highest power
2222222
33—3
5—55
17171717

— = 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 × 17 = 1,020

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
20432566,300
20432633,252
20432722,236
20432816,728
20432967,116
20433011,220
20433167,524
20433216,932
20433322,644
20433434,068
20433568,340
2043365,712
20433768,748
20433834,476
20433923,052
2043401,020
20434169,564
20434211,628
20434369,972
20434417,544
20434523,460
20434635,292
20434770,788
2043485,916
20434971,196
20435035,700
20435123,868
20435217,952
20435372,012
20435412,036

FAQ

What's the Least Common Multiple (LCM) of 204 and 340?

LCM of 204 and 340 is 1,020

How to find the LCM of 204 and 340 using prime factorization?

To find the LCM of 204 and 340, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,020.

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 204 and 340: LCM = 1,020, GCF = 68.

See Also