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What is the Least Common Multiple of 95374 and 95389?

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 95374 and 95389 is 9097630486.

LCM(95374,95389) = 9097630486

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Least Common Multiple of 95374 and 95389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95374 and 95389, than apply into the LCM equation.

GCF(95374,95389) = 1
LCM(95374,95389) = ( 95374 × 95389) / 1
LCM(95374,95389) = 9097630486 / 1
LCM(95374,95389) = 9097630486

Least Common Multiple (LCM) of 95374 and 95389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95374 and 95389. First we will calculate the prime factors of 95374 and 95389.

Prime Factorization of 95374

Prime factors of 95374 are 2, 43, 1109. Prime factorization of 95374 in exponential form is:

95374 = 21 × 431 × 11091

Prime Factorization of 95389

Prime factors of 95389 are 7, 13627. Prime factorization of 95389 in exponential form is:

95389 = 71 × 136271

Now multiplying the highest exponent prime factors to calculate the LCM of 95374 and 95389.

LCM(95374,95389) = 21 × 431 × 11091 × 71 × 136271
LCM(95374,95389) = 9097630486