What is the Least Common Multiple of 76735 and 76742?

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 76735 and 76742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76735 and 76742, than apply into the LCM equation.

GCF(76735,76742) = 1
LCM(76735,76742) = ( 76735 × 76742) / 1
LCM(76735,76742) = 5888797370 / 1
LCM(76735,76742) = 5888797370

Least Common Multiple (LCM) of 76735 and 76742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76735 and 76742. First we will calculate the prime factors of 76735 and 76742.

Prime Factorization of 76735

Prime Factorization of 76742

Now multiplying the highest exponent prime factors to calculate the LCM of 76735 and 76742.

LCM(76735,76742) = 5¹ × 103¹ × 149¹ × 2¹ × 38371¹
LCM(76735,76742) = 5888797370