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What is the Least Common Multiple of 47018 and 47023?

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 47018 and 47023 is 2210927414.

LCM(47018,47023) = 2210927414

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Least Common Multiple of 47018 and 47023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47018 and 47023, than apply into the LCM equation.

GCF(47018,47023) = 1
LCM(47018,47023) = ( 47018 × 47023) / 1
LCM(47018,47023) = 2210927414 / 1
LCM(47018,47023) = 2210927414

Least Common Multiple (LCM) of 47018 and 47023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47018 and 47023. First we will calculate the prime factors of 47018 and 47023.

Prime Factorization of 47018

Prime factors of 47018 are 2, 23509. Prime factorization of 47018 in exponential form is:

47018 = 21 × 235091

Prime Factorization of 47023

Prime factors of 47023 are 59, 797. Prime factorization of 47023 in exponential form is:

47023 = 591 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 47018 and 47023.

LCM(47018,47023) = 21 × 235091 × 591 × 7971
LCM(47018,47023) = 2210927414