What is the Least Common Multiple of 93768 and 93786?

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 93768 and 93786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93768 and 93786, than apply into the LCM equation.

GCF(93768,93786) = 6
LCM(93768,93786) = ( 93768 × 93786) / 6
LCM(93768,93786) = 8794125648 / 6
LCM(93768,93786) = 1465687608

Least Common Multiple (LCM) of 93768 and 93786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93768 and 93786. First we will calculate the prime factors of 93768 and 93786.

Prime Factorization of 93768

Prime Factorization of 93786

Now multiplying the highest exponent prime factors to calculate the LCM of 93768 and 93786.

LCM(93768,93786) = 2³ × 3¹ × 3907¹ × 7² × 11¹ × 29¹
LCM(93768,93786) = 1465687608