What is the Least Common Multiple of 72909 and 72918?

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 72909 and 72918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72909 and 72918, than apply into the LCM equation.

GCF(72909,72918) = 9
LCM(72909,72918) = ( 72909 × 72918) / 9
LCM(72909,72918) = 5316378462 / 9
LCM(72909,72918) = 590708718

Least Common Multiple (LCM) of 72909 and 72918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72909 and 72918. First we will calculate the prime factors of 72909 and 72918.

Prime Factorization of 72909

Prime Factorization of 72918

Now multiplying the highest exponent prime factors to calculate the LCM of 72909 and 72918.

LCM(72909,72918) = 3² × 8101¹ × 2¹ × 4051¹
LCM(72909,72918) = 590708718