What is the Least Common Multiple of 39909 and 39918?

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 of 39909 and 39918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39909 and 39918, than apply into the LCM equation.

GCF(39909,39918) = 3
LCM(39909,39918) = ( 39909 × 39918) / 3
LCM(39909,39918) = 1593087462 / 3
LCM(39909,39918) = 531029154

Least Common Multiple (LCM) of 39909 and 39918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39909 and 39918. First we will calculate the prime factors of 39909 and 39918.

Prime Factorization of 39909

Prime Factorization of 39918

Now multiplying the highest exponent prime factors to calculate the LCM of 39909 and 39918.

LCM(39909,39918) = 3¹ × 53¹ × 251¹ × 2¹ × 6653¹
LCM(39909,39918) = 531029154