What is the Least Common Multiple of 52683 and 52695?

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 52683 and 52695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52683 and 52695, than apply into the LCM equation.

GCF(52683,52695) = 3
LCM(52683,52695) = ( 52683 × 52695) / 3
LCM(52683,52695) = 2776130685 / 3
LCM(52683,52695) = 925376895

Least Common Multiple (LCM) of 52683 and 52695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52683 and 52695. First we will calculate the prime factors of 52683 and 52695.

Prime Factorization of 52683

Prime Factorization of 52695

Now multiplying the highest exponent prime factors to calculate the LCM of 52683 and 52695.

LCM(52683,52695) = 3² × 17¹ × 1033¹ × 5¹ × 1171¹
LCM(52683,52695) = 925376895