What is the Least Common Multiple of 76539 and 76545?

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 76539 and 76545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76539 and 76545, than apply into the LCM equation.

GCF(76539,76545) = 3
LCM(76539,76545) = ( 76539 × 76545) / 3
LCM(76539,76545) = 5858677755 / 3
LCM(76539,76545) = 1952892585

Least Common Multiple (LCM) of 76539 and 76545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76539 and 76545. First we will calculate the prime factors of 76539 and 76545.

Prime Factorization of 76539

Prime Factorization of 76545

Now multiplying the highest exponent prime factors to calculate the LCM of 76539 and 76545.

LCM(76539,76545) = 3⁷ × 31¹ × 823¹ × 5¹ × 7¹
LCM(76539,76545) = 1952892585