What is the Least Common Multiple of 52785 and 52800?

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 52785 and 52800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52785 and 52800, than apply into the LCM equation.

GCF(52785,52800) = 15
LCM(52785,52800) = ( 52785 × 52800) / 15
LCM(52785,52800) = 2787048000 / 15
LCM(52785,52800) = 185803200

Least Common Multiple (LCM) of 52785 and 52800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52785 and 52800. First we will calculate the prime factors of 52785 and 52800.

Prime Factorization of 52785

Prime Factorization of 52800

Now multiplying the highest exponent prime factors to calculate the LCM of 52785 and 52800.

LCM(52785,52800) = 3³ × 5² × 17¹ × 23¹ × 2⁶ × 11¹
LCM(52785,52800) = 185803200