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What is the Least Common Multiple of 81019 and 81023?

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 81019 and 81023 is 6564402437.

LCM(81019,81023) = 6564402437

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Least Common Multiple of 81019 and 81023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81019 and 81023, than apply into the LCM equation.

GCF(81019,81023) = 1
LCM(81019,81023) = ( 81019 × 81023) / 1
LCM(81019,81023) = 6564402437 / 1
LCM(81019,81023) = 6564402437

Least Common Multiple (LCM) of 81019 and 81023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81019 and 81023. First we will calculate the prime factors of 81019 and 81023.

Prime Factorization of 81019

Prime factors of 81019 are 81019. Prime factorization of 81019 in exponential form is:

81019 = 810191

Prime Factorization of 81023

Prime factors of 81023 are 81023. Prime factorization of 81023 in exponential form is:

81023 = 810231

Now multiplying the highest exponent prime factors to calculate the LCM of 81019 and 81023.

LCM(81019,81023) = 810191 × 810231
LCM(81019,81023) = 6564402437