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What is the Least Common Multiple of 96062 and 96081?

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 96062 and 96081 is 9229733022.

LCM(96062,96081) = 9229733022

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Least Common Multiple of 96062 and 96081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96062 and 96081, than apply into the LCM equation.

GCF(96062,96081) = 1
LCM(96062,96081) = ( 96062 × 96081) / 1
LCM(96062,96081) = 9229733022 / 1
LCM(96062,96081) = 9229733022

Least Common Multiple (LCM) of 96062 and 96081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96062 and 96081. First we will calculate the prime factors of 96062 and 96081.

Prime Factorization of 96062

Prime factors of 96062 are 2, 43, 1117. Prime factorization of 96062 in exponential form is:

96062 = 21 × 431 × 11171

Prime Factorization of 96081

Prime factors of 96081 are 3, 32027. Prime factorization of 96081 in exponential form is:

96081 = 31 × 320271

Now multiplying the highest exponent prime factors to calculate the LCM of 96062 and 96081.

LCM(96062,96081) = 21 × 431 × 11171 × 31 × 320271
LCM(96062,96081) = 9229733022