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What is the Least Common Multiple of 4005 and 4023?

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 4005 and 4023 is 1790235.

LCM(4005,4023) = 1790235

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Least Common Multiple of 4005 and 4023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4005 and 4023, than apply into the LCM equation.

GCF(4005,4023) = 9
LCM(4005,4023) = ( 4005 × 4023) / 9
LCM(4005,4023) = 16112115 / 9
LCM(4005,4023) = 1790235

Least Common Multiple (LCM) of 4005 and 4023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4005 and 4023. First we will calculate the prime factors of 4005 and 4023.

Prime Factorization of 4005

Prime factors of 4005 are 3, 5, 89. Prime factorization of 4005 in exponential form is:

4005 = 32 × 51 × 891

Prime Factorization of 4023

Prime factors of 4023 are 3, 149. Prime factorization of 4023 in exponential form is:

4023 = 33 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4005 and 4023.

LCM(4005,4023) = 33 × 51 × 891 × 1491
LCM(4005,4023) = 1790235