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What is the Least Common Multiple of 73959 and 73975?

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 73959 and 73975 is 5471117025.

LCM(73959,73975) = 5471117025

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Least Common Multiple of 73959 and 73975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73959 and 73975, than apply into the LCM equation.

GCF(73959,73975) = 1
LCM(73959,73975) = ( 73959 × 73975) / 1
LCM(73959,73975) = 5471117025 / 1
LCM(73959,73975) = 5471117025

Least Common Multiple (LCM) of 73959 and 73975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73959 and 73975. First we will calculate the prime factors of 73959 and 73975.

Prime Factorization of 73959

Prime factors of 73959 are 3, 89, 277. Prime factorization of 73959 in exponential form is:

73959 = 31 × 891 × 2771

Prime Factorization of 73975

Prime factors of 73975 are 5, 11, 269. Prime factorization of 73975 in exponential form is:

73975 = 52 × 111 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 73959 and 73975.

LCM(73959,73975) = 31 × 891 × 2771 × 52 × 111 × 2691
LCM(73959,73975) = 5471117025