What is the Least Common Multiple of 51909 and 51924?

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 51924 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 51924, than apply into the LCM equation.

GCF(51909,51924) = 3
LCM(51909,51924) = ( 51909 × 51924) / 3
LCM(51909,51924) = 2695322916 / 3
LCM(51909,51924) = 898440972

Least Common Multiple (LCM) of 51909 and 51924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51909 and 51924. First we will calculate the prime factors of 51909 and 51924.

Prime Factorization of 51909

Prime Factorization of 51924

Now multiplying the highest exponent prime factors to calculate the LCM of 51909 and 51924.

LCM(51909,51924) = 3¹ × 11³ × 13¹ × 2² × 4327¹
LCM(51909,51924) = 898440972