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What is the Least Common Multiple of 95029 and 95038?

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 95029 and 95038 is 9031366102.

LCM(95029,95038) = 9031366102

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Least Common Multiple of 95029 and 95038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95029 and 95038, than apply into the LCM equation.

GCF(95029,95038) = 1
LCM(95029,95038) = ( 95029 × 95038) / 1
LCM(95029,95038) = 9031366102 / 1
LCM(95029,95038) = 9031366102

Least Common Multiple (LCM) of 95029 and 95038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95029 and 95038. First we will calculate the prime factors of 95029 and 95038.

Prime Factorization of 95029

Prime factors of 95029 are 11, 53, 163. Prime factorization of 95029 in exponential form is:

95029 = 111 × 531 × 1631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 95029 and 95038.

LCM(95029,95038) = 111 × 531 × 1631 × 21 × 191 × 411 × 611
LCM(95029,95038) = 9031366102