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What is the Least Common Multiple of 40017 and 40023?

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 40017 and 40023 is 533866797.

LCM(40017,40023) = 533866797

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Least Common Multiple of 40017 and 40023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40017 and 40023, than apply into the LCM equation.

GCF(40017,40023) = 3
LCM(40017,40023) = ( 40017 × 40023) / 3
LCM(40017,40023) = 1601600391 / 3
LCM(40017,40023) = 533866797

Least Common Multiple (LCM) of 40017 and 40023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40017 and 40023. First we will calculate the prime factors of 40017 and 40023.

Prime Factorization of 40017

Prime factors of 40017 are 3, 13339. Prime factorization of 40017 in exponential form is:

40017 = 31 × 133391

Prime Factorization of 40023

Prime factors of 40023 are 3, 4447. Prime factorization of 40023 in exponential form is:

40023 = 32 × 44471

Now multiplying the highest exponent prime factors to calculate the LCM of 40017 and 40023.

LCM(40017,40023) = 32 × 133391 × 44471
LCM(40017,40023) = 533866797