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What is the Least Common Multiple of 4003 and 4021?

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 4003 and 4021 is 16096063.

LCM(4003,4021) = 16096063

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Least Common Multiple of 4003 and 4021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4003 and 4021, than apply into the LCM equation.

GCF(4003,4021) = 1
LCM(4003,4021) = ( 4003 × 4021) / 1
LCM(4003,4021) = 16096063 / 1
LCM(4003,4021) = 16096063

Least Common Multiple (LCM) of 4003 and 4021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4003 and 4021. First we will calculate the prime factors of 4003 and 4021.

Prime Factorization of 4003

Prime factors of 4003 are 4003. Prime factorization of 4003 in exponential form is:

4003 = 40031

Prime Factorization of 4021

Prime factors of 4021 are 4021. Prime factorization of 4021 in exponential form is:

4021 = 40211

Now multiplying the highest exponent prime factors to calculate the LCM of 4003 and 4021.

LCM(4003,4021) = 40031 × 40211
LCM(4003,4021) = 16096063