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What is the Least Common Multiple of 4009 and 4018?

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 4009 and 4018 is 16108162.

LCM(4009,4018) = 16108162

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Least Common Multiple of 4009 and 4018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4009 and 4018, than apply into the LCM equation.

GCF(4009,4018) = 1
LCM(4009,4018) = ( 4009 × 4018) / 1
LCM(4009,4018) = 16108162 / 1
LCM(4009,4018) = 16108162

Least Common Multiple (LCM) of 4009 and 4018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4009 and 4018. First we will calculate the prime factors of 4009 and 4018.

Prime Factorization of 4009

Prime factors of 4009 are 19, 211. Prime factorization of 4009 in exponential form is:

4009 = 191 × 2111

Prime Factorization of 4018

Prime factors of 4018 are 2, 7, 41. Prime factorization of 4018 in exponential form is:

4018 = 21 × 72 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 4009 and 4018.

LCM(4009,4018) = 191 × 2111 × 21 × 72 × 411
LCM(4009,4018) = 16108162