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What is the Least Common Multiple of 43018 and 43023?

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 43018 and 43023 is 1850763414.

LCM(43018,43023) = 1850763414

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Least Common Multiple of 43018 and 43023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43018 and 43023, than apply into the LCM equation.

GCF(43018,43023) = 1
LCM(43018,43023) = ( 43018 × 43023) / 1
LCM(43018,43023) = 1850763414 / 1
LCM(43018,43023) = 1850763414

Least Common Multiple (LCM) of 43018 and 43023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43018 and 43023. First we will calculate the prime factors of 43018 and 43023.

Prime Factorization of 43018

Prime factors of 43018 are 2, 137, 157. Prime factorization of 43018 in exponential form is:

43018 = 21 × 1371 × 1571

Prime Factorization of 43023

Prime factors of 43023 are 3, 14341. Prime factorization of 43023 in exponential form is:

43023 = 31 × 143411

Now multiplying the highest exponent prime factors to calculate the LCM of 43018 and 43023.

LCM(43018,43023) = 21 × 1371 × 1571 × 31 × 143411
LCM(43018,43023) = 1850763414