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What is the Least Common Multiple of 95375 and 95395?

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 95375 and 95395 is 1819659625.

LCM(95375,95395) = 1819659625

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Least Common Multiple of 95375 and 95395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95375 and 95395, than apply into the LCM equation.

GCF(95375,95395) = 5
LCM(95375,95395) = ( 95375 × 95395) / 5
LCM(95375,95395) = 9098298125 / 5
LCM(95375,95395) = 1819659625

Least Common Multiple (LCM) of 95375 and 95395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95375 and 95395. First we will calculate the prime factors of 95375 and 95395.

Prime Factorization of 95375

Prime factors of 95375 are 5, 7, 109. Prime factorization of 95375 in exponential form is:

95375 = 53 × 71 × 1091

Prime Factorization of 95395

Prime factors of 95395 are 5, 19079. Prime factorization of 95395 in exponential form is:

95395 = 51 × 190791

Now multiplying the highest exponent prime factors to calculate the LCM of 95375 and 95395.

LCM(95375,95395) = 53 × 71 × 1091 × 190791
LCM(95375,95395) = 1819659625