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What is the Least Common Multiple of 96529 and 96537?

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 96529 and 96537 is 9318620073.

LCM(96529,96537) = 9318620073

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Least Common Multiple of 96529 and 96537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96529 and 96537, than apply into the LCM equation.

GCF(96529,96537) = 1
LCM(96529,96537) = ( 96529 × 96537) / 1
LCM(96529,96537) = 9318620073 / 1
LCM(96529,96537) = 9318620073

Least Common Multiple (LCM) of 96529 and 96537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96529 and 96537. First we will calculate the prime factors of 96529 and 96537.

Prime Factorization of 96529

Prime factors of 96529 are 83, 1163. Prime factorization of 96529 in exponential form is:

96529 = 831 × 11631

Prime Factorization of 96537

Prime factors of 96537 are 3, 7, 4597. Prime factorization of 96537 in exponential form is:

96537 = 31 × 71 × 45971

Now multiplying the highest exponent prime factors to calculate the LCM of 96529 and 96537.

LCM(96529,96537) = 831 × 11631 × 31 × 71 × 45971
LCM(96529,96537) = 9318620073