What is the Least Common Multiple of 76519 and 76531?

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 76519 and 76531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76519 and 76531, than apply into the LCM equation.

GCF(76519,76531) = 1
LCM(76519,76531) = ( 76519 × 76531) / 1
LCM(76519,76531) = 5856075589 / 1
LCM(76519,76531) = 5856075589

Least Common Multiple (LCM) of 76519 and 76531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76519 and 76531. First we will calculate the prime factors of 76519 and 76531.

Prime Factorization of 76519

Prime Factorization of 76531

Now multiplying the highest exponent prime factors to calculate the LCM of 76519 and 76531.

LCM(76519,76531) = 76519¹ × 7¹ × 13¹ × 29²
LCM(76519,76531) = 5856075589