What is the Least Common Multiple of 76509 and 76517?

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 76509 and 76517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76509 and 76517, than apply into the LCM equation.

GCF(76509,76517) = 1
LCM(76509,76517) = ( 76509 × 76517) / 1
LCM(76509,76517) = 5854239153 / 1
LCM(76509,76517) = 5854239153

Least Common Multiple (LCM) of 76509 and 76517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76509 and 76517. First we will calculate the prime factors of 76509 and 76517.

Prime Factorization of 76509

Prime Factorization of 76517

Now multiplying the highest exponent prime factors to calculate the LCM of 76509 and 76517.

LCM(76509,76517) = 3² × 8501¹ × 7¹ × 17¹ × 643¹
LCM(76509,76517) = 5854239153