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What is the Least Common Multiple of 85291 and 85308?

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 85291 and 85308 is 7276004628.

LCM(85291,85308) = 7276004628

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Least Common Multiple of 85291 and 85308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85291 and 85308, than apply into the LCM equation.

GCF(85291,85308) = 1
LCM(85291,85308) = ( 85291 × 85308) / 1
LCM(85291,85308) = 7276004628 / 1
LCM(85291,85308) = 7276004628

Least Common Multiple (LCM) of 85291 and 85308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85291 and 85308. First we will calculate the prime factors of 85291 and 85308.

Prime Factorization of 85291

Prime factors of 85291 are 19, 67. Prime factorization of 85291 in exponential form is:

85291 = 191 × 672

Prime Factorization of 85308

Prime factors of 85308 are 2, 3, 7109. Prime factorization of 85308 in exponential form is:

85308 = 22 × 31 × 71091

Now multiplying the highest exponent prime factors to calculate the LCM of 85291 and 85308.

LCM(85291,85308) = 191 × 672 × 22 × 31 × 71091
LCM(85291,85308) = 7276004628