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What is the Least Common Multiple of 67376 and 67386?

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 67376 and 67386 is 2270099568.

LCM(67376,67386) = 2270099568

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Least Common Multiple of 67376 and 67386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67376 and 67386, than apply into the LCM equation.

GCF(67376,67386) = 2
LCM(67376,67386) = ( 67376 × 67386) / 2
LCM(67376,67386) = 4540199136 / 2
LCM(67376,67386) = 2270099568

Least Common Multiple (LCM) of 67376 and 67386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67376 and 67386. First we will calculate the prime factors of 67376 and 67386.

Prime Factorization of 67376

Prime factors of 67376 are 2, 4211. Prime factorization of 67376 in exponential form is:

67376 = 24 × 42111

Prime Factorization of 67386

Prime factors of 67386 are 2, 3, 11, 1021. Prime factorization of 67386 in exponential form is:

67386 = 21 × 31 × 111 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 67376 and 67386.

LCM(67376,67386) = 24 × 42111 × 31 × 111 × 10211
LCM(67376,67386) = 2270099568