What is the Least Common Multiple of 76329 and 76333?

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 76329 and 76333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76329 and 76333, than apply into the LCM equation.

GCF(76329,76333) = 1
LCM(76329,76333) = ( 76329 × 76333) / 1
LCM(76329,76333) = 5826421557 / 1
LCM(76329,76333) = 5826421557

Least Common Multiple (LCM) of 76329 and 76333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76329 and 76333. First we will calculate the prime factors of 76329 and 76333.

Prime Factorization of 76329

Prime Factorization of 76333

Now multiplying the highest exponent prime factors to calculate the LCM of 76329 and 76333.

LCM(76329,76333) = 3³ × 11¹ × 257¹ × 76333¹
LCM(76329,76333) = 5826421557