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What is the Least Common Multiple of 59387 and 59395?

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 59387 and 59395 is 3527290865.

LCM(59387,59395) = 3527290865

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Least Common Multiple of 59387 and 59395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59387 and 59395, than apply into the LCM equation.

GCF(59387,59395) = 1
LCM(59387,59395) = ( 59387 × 59395) / 1
LCM(59387,59395) = 3527290865 / 1
LCM(59387,59395) = 3527290865

Least Common Multiple (LCM) of 59387 and 59395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59387 and 59395. First we will calculate the prime factors of 59387 and 59395.

Prime Factorization of 59387

Prime factors of 59387 are 59387. Prime factorization of 59387 in exponential form is:

59387 = 593871

Prime Factorization of 59395

Prime factors of 59395 are 5, 7, 1697. Prime factorization of 59395 in exponential form is:

59395 = 51 × 71 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 59387 and 59395.

LCM(59387,59395) = 593871 × 51 × 71 × 16971
LCM(59387,59395) = 3527290865