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What is the Least Common Multiple of 9078 and 9095?

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 9078 and 9095 is 4856730.

LCM(9078,9095) = 4856730

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Least Common Multiple of 9078 and 9095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9078 and 9095, than apply into the LCM equation.

GCF(9078,9095) = 17
LCM(9078,9095) = ( 9078 × 9095) / 17
LCM(9078,9095) = 82564410 / 17
LCM(9078,9095) = 4856730

Least Common Multiple (LCM) of 9078 and 9095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9078 and 9095. First we will calculate the prime factors of 9078 and 9095.

Prime Factorization of 9078

Prime factors of 9078 are 2, 3, 17, 89. Prime factorization of 9078 in exponential form is:

9078 = 21 × 31 × 171 × 891

Prime Factorization of 9095

Prime factors of 9095 are 5, 17, 107. Prime factorization of 9095 in exponential form is:

9095 = 51 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9078 and 9095.

LCM(9078,9095) = 21 × 31 × 171 × 891 × 51 × 1071
LCM(9078,9095) = 4856730