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What is the Least Common Multiple of 9102 and 9118?

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 9102 and 9118 is 41496018.

LCM(9102,9118) = 41496018

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Least Common Multiple of 9102 and 9118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9102 and 9118, than apply into the LCM equation.

GCF(9102,9118) = 2
LCM(9102,9118) = ( 9102 × 9118) / 2
LCM(9102,9118) = 82992036 / 2
LCM(9102,9118) = 41496018

Least Common Multiple (LCM) of 9102 and 9118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9102 and 9118. First we will calculate the prime factors of 9102 and 9118.

Prime Factorization of 9102

Prime factors of 9102 are 2, 3, 37, 41. Prime factorization of 9102 in exponential form is:

9102 = 21 × 31 × 371 × 411

Prime Factorization of 9118

Prime factors of 9118 are 2, 47, 97. Prime factorization of 9118 in exponential form is:

9118 = 21 × 471 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 9102 and 9118.

LCM(9102,9118) = 21 × 31 × 371 × 411 × 471 × 971
LCM(9102,9118) = 41496018