What is the Least Common Multiple of 51909 and 51918?

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 51909 and 51918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51909 and 51918, than apply into the LCM equation.

GCF(51909,51918) = 3
LCM(51909,51918) = ( 51909 × 51918) / 3
LCM(51909,51918) = 2695011462 / 3
LCM(51909,51918) = 898337154

Least Common Multiple (LCM) of 51909 and 51918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51909 and 51918. First we will calculate the prime factors of 51909 and 51918.

Prime Factorization of 51909

Prime Factorization of 51918

Now multiplying the highest exponent prime factors to calculate the LCM of 51909 and 51918.

LCM(51909,51918) = 3¹ × 11³ × 13¹ × 2¹ × 17¹ × 509¹
LCM(51909,51918) = 898337154