What is the Least Common Multiple of 76938 and 76944?

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 76938 and 76944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76938 and 76944, than apply into the LCM equation.

GCF(76938,76944) = 6
LCM(76938,76944) = ( 76938 × 76944) / 6
LCM(76938,76944) = 5919917472 / 6
LCM(76938,76944) = 986652912

Least Common Multiple (LCM) of 76938 and 76944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76938 and 76944. First we will calculate the prime factors of 76938 and 76944.

Prime Factorization of 76938

Prime Factorization of 76944

Now multiplying the highest exponent prime factors to calculate the LCM of 76938 and 76944.

LCM(76938,76944) = 2⁴ × 3¹ × 12823¹ × 7¹ × 229¹
LCM(76938,76944) = 986652912