What is the Least Common Multiple of 76324 and 76338?

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 76324 and 76338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76324 and 76338, than apply into the LCM equation.

GCF(76324,76338) = 2
LCM(76324,76338) = ( 76324 × 76338) / 2
LCM(76324,76338) = 5826421512 / 2
LCM(76324,76338) = 2913210756

Least Common Multiple (LCM) of 76324 and 76338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76324 and 76338. First we will calculate the prime factors of 76324 and 76338.

Prime Factorization of 76324

Prime Factorization of 76338

Now multiplying the highest exponent prime factors to calculate the LCM of 76324 and 76338.

LCM(76324,76338) = 2² × 19081¹ × 3² × 4241¹
LCM(76324,76338) = 2913210756