What is the Least Common Multiple of 76509 and 76523?

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 76523 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 76523, than apply into the LCM equation.

GCF(76509,76523) = 1
LCM(76509,76523) = ( 76509 × 76523) / 1
LCM(76509,76523) = 5854698207 / 1
LCM(76509,76523) = 5854698207

Least Common Multiple (LCM) of 76509 and 76523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76509 and 76523. First we will calculate the prime factors of 76509 and 76523.

Prime Factorization of 76509

Prime Factorization of 76523

Now multiplying the highest exponent prime factors to calculate the LCM of 76509 and 76523.

LCM(76509,76523) = 3² × 8501¹ × 59¹ × 1297¹
LCM(76509,76523) = 5854698207