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What is the Least Common Multiple of 77017 and 77023?

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 77017 and 77023 is 5932080391.

LCM(77017,77023) = 5932080391

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Least Common Multiple of 77017 and 77023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77017 and 77023, than apply into the LCM equation.

GCF(77017,77023) = 1
LCM(77017,77023) = ( 77017 × 77023) / 1
LCM(77017,77023) = 5932080391 / 1
LCM(77017,77023) = 5932080391

Least Common Multiple (LCM) of 77017 and 77023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77017 and 77023. First we will calculate the prime factors of 77017 and 77023.

Prime Factorization of 77017

Prime factors of 77017 are 77017. Prime factorization of 77017 in exponential form is:

77017 = 770171

Prime Factorization of 77023

Prime factors of 77023 are 77023. Prime factorization of 77023 in exponential form is:

77023 = 770231

Now multiplying the highest exponent prime factors to calculate the LCM of 77017 and 77023.

LCM(77017,77023) = 770171 × 770231
LCM(77017,77023) = 5932080391