What is the Least Common Multiple of 52800 and 52807?

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 52800 and 52807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52800 and 52807, than apply into the LCM equation.

GCF(52800,52807) = 1
LCM(52800,52807) = ( 52800 × 52807) / 1
LCM(52800,52807) = 2788209600 / 1
LCM(52800,52807) = 2788209600

Least Common Multiple (LCM) of 52800 and 52807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52800 and 52807. First we will calculate the prime factors of 52800 and 52807.

Prime Factorization of 52800

Prime Factorization of 52807

Now multiplying the highest exponent prime factors to calculate the LCM of 52800 and 52807.

LCM(52800,52807) = 2⁶ × 3¹ × 5² × 11¹ × 52807¹
LCM(52800,52807) = 2788209600