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What is the Least Common Multiple of 96437 and 96456?

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 96437 and 96456 is 9301927272.

LCM(96437,96456) = 9301927272

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Least Common Multiple of 96437 and 96456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96437 and 96456, than apply into the LCM equation.

GCF(96437,96456) = 1
LCM(96437,96456) = ( 96437 × 96456) / 1
LCM(96437,96456) = 9301927272 / 1
LCM(96437,96456) = 9301927272

Least Common Multiple (LCM) of 96437 and 96456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96437 and 96456. First we will calculate the prime factors of 96437 and 96456.

Prime Factorization of 96437

Prime factors of 96437 are 11, 797. Prime factorization of 96437 in exponential form is:

96437 = 112 × 7971

Prime Factorization of 96456

Prime factors of 96456 are 2, 3, 4019. Prime factorization of 96456 in exponential form is:

96456 = 23 × 31 × 40191

Now multiplying the highest exponent prime factors to calculate the LCM of 96437 and 96456.

LCM(96437,96456) = 112 × 7971 × 23 × 31 × 40191
LCM(96437,96456) = 9301927272