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What is the Least Common Multiple of 3371 and 3380?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3371 and 3380 is 11393980.

LCM(3371,3380) = 11393980

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Least Common Multiple of 3371 and 3380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3371 and 3380, than apply into the LCM equation.

GCF(3371,3380) = 1
LCM(3371,3380) = ( 3371 × 3380) / 1
LCM(3371,3380) = 11393980 / 1
LCM(3371,3380) = 11393980

Least Common Multiple (LCM) of 3371 and 3380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3371 and 3380. First we will calculate the prime factors of 3371 and 3380.

Prime Factorization of 3371

Prime factors of 3371 are 3371. Prime factorization of 3371 in exponential form is:

3371 = 33711

Prime Factorization of 3380

Prime factors of 3380 are 2, 5, 13. Prime factorization of 3380 in exponential form is:

3380 = 22 × 51 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 3371 and 3380.

LCM(3371,3380) = 33711 × 22 × 51 × 132
LCM(3371,3380) = 11393980