What is the Least Common Multiple of 76290 and 76299?

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 76290 and 76299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76290 and 76299, than apply into the LCM equation.

GCF(76290,76299) = 3
LCM(76290,76299) = ( 76290 × 76299) / 3
LCM(76290,76299) = 5820850710 / 3
LCM(76290,76299) = 1940283570

Least Common Multiple (LCM) of 76290 and 76299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76290 and 76299. First we will calculate the prime factors of 76290 and 76299.

Prime Factorization of 76290

Prime Factorization of 76299

Now multiplying the highest exponent prime factors to calculate the LCM of 76290 and 76299.

LCM(76290,76299) = 2¹ × 3¹ × 5¹ × 2543¹ × 29¹ × 877¹
LCM(76290,76299) = 1940283570