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What is the Least Common Multiple of 92019 and 92023?

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 92019 and 92023 is 8467864437.

LCM(92019,92023) = 8467864437

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Least Common Multiple of 92019 and 92023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92019 and 92023, than apply into the LCM equation.

GCF(92019,92023) = 1
LCM(92019,92023) = ( 92019 × 92023) / 1
LCM(92019,92023) = 8467864437 / 1
LCM(92019,92023) = 8467864437

Least Common Multiple (LCM) of 92019 and 92023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92019 and 92023. First we will calculate the prime factors of 92019 and 92023.

Prime Factorization of 92019

Prime factors of 92019 are 3, 37, 829. Prime factorization of 92019 in exponential form is:

92019 = 31 × 371 × 8291

Prime Factorization of 92023

Prime factors of 92023 are 23, 4001. Prime factorization of 92023 in exponential form is:

92023 = 231 × 40011

Now multiplying the highest exponent prime factors to calculate the LCM of 92019 and 92023.

LCM(92019,92023) = 31 × 371 × 8291 × 231 × 40011
LCM(92019,92023) = 8467864437