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What is the Least Common Multiple of 95038 and 95057?

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 95038 and 95057 is 475475114.

LCM(95038,95057) = 475475114

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Least Common Multiple of 95038 and 95057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95038 and 95057, than apply into the LCM equation.

GCF(95038,95057) = 19
LCM(95038,95057) = ( 95038 × 95057) / 19
LCM(95038,95057) = 9034027166 / 19
LCM(95038,95057) = 475475114

Least Common Multiple (LCM) of 95038 and 95057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95038 and 95057. First we will calculate the prime factors of 95038 and 95057.

Prime Factorization of 95038

Prime factors of 95038 are 2, 19, 41, 61. Prime factorization of 95038 in exponential form is:

95038 = 21 × 191 × 411 × 611

Prime Factorization of 95057

Prime factors of 95057 are 19, 5003. Prime factorization of 95057 in exponential form is:

95057 = 191 × 50031

Now multiplying the highest exponent prime factors to calculate the LCM of 95038 and 95057.

LCM(95038,95057) = 21 × 191 × 411 × 611 × 50031
LCM(95038,95057) = 475475114