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What is the Least Common Multiple of 56083 and 56096?

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 56083 and 56096 is 3146031968.

LCM(56083,56096) = 3146031968

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Least Common Multiple of 56083 and 56096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56083 and 56096, than apply into the LCM equation.

GCF(56083,56096) = 1
LCM(56083,56096) = ( 56083 × 56096) / 1
LCM(56083,56096) = 3146031968 / 1
LCM(56083,56096) = 3146031968

Least Common Multiple (LCM) of 56083 and 56096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56083 and 56096. First we will calculate the prime factors of 56083 and 56096.

Prime Factorization of 56083

Prime factors of 56083 are 17, 3299. Prime factorization of 56083 in exponential form is:

56083 = 171 × 32991

Prime Factorization of 56096

Prime factors of 56096 are 2, 1753. Prime factorization of 56096 in exponential form is:

56096 = 25 × 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 56083 and 56096.

LCM(56083,56096) = 171 × 32991 × 25 × 17531
LCM(56083,56096) = 3146031968