What is the Least Common Multiple of 76523 and 76541?

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 76523 and 76541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76523 and 76541, than apply into the LCM equation.

GCF(76523,76541) = 1
LCM(76523,76541) = ( 76523 × 76541) / 1
LCM(76523,76541) = 5857146943 / 1
LCM(76523,76541) = 5857146943

Least Common Multiple (LCM) of 76523 and 76541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76523 and 76541. First we will calculate the prime factors of 76523 and 76541.

Prime Factorization of 76523

Prime Factorization of 76541

Now multiplying the highest exponent prime factors to calculate the LCM of 76523 and 76541.

LCM(76523,76541) = 59¹ × 1297¹ × 76541¹
LCM(76523,76541) = 5857146943