What is the Least Common Multiple of 76305 and 76322?

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 76305 and 76322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76305 and 76322, than apply into the LCM equation.

GCF(76305,76322) = 1
LCM(76305,76322) = ( 76305 × 76322) / 1
LCM(76305,76322) = 5823750210 / 1
LCM(76305,76322) = 5823750210

Least Common Multiple (LCM) of 76305 and 76322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76305 and 76322. First we will calculate the prime factors of 76305 and 76322.

Prime Factorization of 76305

Prime Factorization of 76322

Now multiplying the highest exponent prime factors to calculate the LCM of 76305 and 76322.

LCM(76305,76322) = 3¹ × 5¹ × 5087¹ × 2¹ × 31¹ × 1231¹
LCM(76305,76322) = 5823750210