What is the Least Common Multiple of 76209 and 76227?

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 76209 and 76227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76209 and 76227, than apply into the LCM equation.

GCF(76209,76227) = 3
LCM(76209,76227) = ( 76209 × 76227) / 3
LCM(76209,76227) = 5809183443 / 3
LCM(76209,76227) = 1936394481

Least Common Multiple (LCM) of 76209 and 76227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76209 and 76227. First we will calculate the prime factors of 76209 and 76227.

Prime Factorization of 76209

Prime Factorization of 76227

Now multiplying the highest exponent prime factors to calculate the LCM of 76209 and 76227.

LCM(76209,76227) = 3¹ × 7¹ × 19¹ × 191¹ × 25409¹
LCM(76209,76227) = 1936394481