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What is the Least Common Multiple of 94355 and 94360?

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 94355 and 94360 is 1780667560.

LCM(94355,94360) = 1780667560

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Least Common Multiple of 94355 and 94360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94355 and 94360, than apply into the LCM equation.

GCF(94355,94360) = 5
LCM(94355,94360) = ( 94355 × 94360) / 5
LCM(94355,94360) = 8903337800 / 5
LCM(94355,94360) = 1780667560

Least Common Multiple (LCM) of 94355 and 94360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94355 and 94360. First we will calculate the prime factors of 94355 and 94360.

Prime Factorization of 94355

Prime factors of 94355 are 5, 113, 167. Prime factorization of 94355 in exponential form is:

94355 = 51 × 1131 × 1671

Prime Factorization of 94360

Prime factors of 94360 are 2, 5, 7, 337. Prime factorization of 94360 in exponential form is:

94360 = 23 × 51 × 71 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 94355 and 94360.

LCM(94355,94360) = 51 × 1131 × 1671 × 23 × 71 × 3371
LCM(94355,94360) = 1780667560