What is the Least Common Multiple of 76521 and 76537?

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 76521 and 76537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76521 and 76537, than apply into the LCM equation.

GCF(76521,76537) = 1
LCM(76521,76537) = ( 76521 × 76537) / 1
LCM(76521,76537) = 5856687777 / 1
LCM(76521,76537) = 5856687777

Least Common Multiple (LCM) of 76521 and 76537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76521 and 76537. First we will calculate the prime factors of 76521 and 76537.

Prime Factorization of 76521

Prime Factorization of 76537

Now multiplying the highest exponent prime factors to calculate the LCM of 76521 and 76537.

LCM(76521,76537) = 3¹ × 23¹ × 1109¹ × 76537¹
LCM(76521,76537) = 5856687777