What is the Least Common Multiple of 76725 and 76743?

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 76725 and 76743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76725 and 76743, than apply into the LCM equation.

GCF(76725,76743) = 9
LCM(76725,76743) = ( 76725 × 76743) / 9
LCM(76725,76743) = 5888106675 / 9
LCM(76725,76743) = 654234075

Least Common Multiple (LCM) of 76725 and 76743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76725 and 76743. First we will calculate the prime factors of 76725 and 76743.

Prime Factorization of 76725

Prime Factorization of 76743

Now multiplying the highest exponent prime factors to calculate the LCM of 76725 and 76743.

LCM(76725,76743) = 3² × 5² × 11¹ × 31¹ × 8527¹
LCM(76725,76743) = 654234075