What is the Least Common Multiple of 76752 and 76768?

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 76752 and 76768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76752 and 76768, than apply into the LCM equation.

GCF(76752,76768) = 16
LCM(76752,76768) = ( 76752 × 76768) / 16
LCM(76752,76768) = 5892097536 / 16
LCM(76752,76768) = 368256096

Least Common Multiple (LCM) of 76752 and 76768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76752 and 76768. First we will calculate the prime factors of 76752 and 76768.

Prime Factorization of 76752

Prime Factorization of 76768

Now multiplying the highest exponent prime factors to calculate the LCM of 76752 and 76768.

LCM(76752,76768) = 2⁵ × 3² × 13¹ × 41¹ × 2399¹
LCM(76752,76768) = 368256096