What is the Least Common Multiple of 76299 and 76304?

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 76299 and 76304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76299 and 76304, than apply into the LCM equation.

GCF(76299,76304) = 1
LCM(76299,76304) = ( 76299 × 76304) / 1
LCM(76299,76304) = 5821918896 / 1
LCM(76299,76304) = 5821918896

Least Common Multiple (LCM) of 76299 and 76304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76299 and 76304. First we will calculate the prime factors of 76299 and 76304.

Prime Factorization of 76299

Prime Factorization of 76304

Now multiplying the highest exponent prime factors to calculate the LCM of 76299 and 76304.

LCM(76299,76304) = 3¹ × 29¹ × 877¹ × 2⁴ × 19¹ × 251¹
LCM(76299,76304) = 5821918896