What is the Least Common Multiple of 52809 and 52824?

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 52809 and 52824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52809 and 52824, than apply into the LCM equation.

GCF(52809,52824) = 3
LCM(52809,52824) = ( 52809 × 52824) / 3
LCM(52809,52824) = 2789582616 / 3
LCM(52809,52824) = 929860872

Least Common Multiple (LCM) of 52809 and 52824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52809 and 52824. First we will calculate the prime factors of 52809 and 52824.

Prime Factorization of 52809

Prime Factorization of 52824

Now multiplying the highest exponent prime factors to calculate the LCM of 52809 and 52824.

LCM(52809,52824) = 3¹ × 29¹ × 607¹ × 2³ × 31¹ × 71¹
LCM(52809,52824) = 929860872