What is the Least Common Multiple of 52785 and 52794?

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 52794 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 52794, than apply into the LCM equation.

GCF(52785,52794) = 9
LCM(52785,52794) = ( 52785 × 52794) / 9
LCM(52785,52794) = 2786731290 / 9
LCM(52785,52794) = 309636810

Least Common Multiple (LCM) of 52785 and 52794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52785 and 52794. First we will calculate the prime factors of 52785 and 52794.

Prime Factorization of 52785

Prime Factorization of 52794

Now multiplying the highest exponent prime factors to calculate the LCM of 52785 and 52794.

LCM(52785,52794) = 3³ × 5¹ × 17¹ × 23¹ × 2¹ × 7¹ × 419¹
LCM(52785,52794) = 309636810