What is the Least Common Multiple of 76227 and 76245?

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 76227 and 76245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76227 and 76245, than apply into the LCM equation.

GCF(76227,76245) = 3
LCM(76227,76245) = ( 76227 × 76245) / 3
LCM(76227,76245) = 5811927615 / 3
LCM(76227,76245) = 1937309205

Least Common Multiple (LCM) of 76227 and 76245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76227 and 76245. First we will calculate the prime factors of 76227 and 76245.

Prime Factorization of 76227

Prime Factorization of 76245

Now multiplying the highest exponent prime factors to calculate the LCM of 76227 and 76245.

LCM(76227,76245) = 3¹ × 25409¹ × 5¹ × 13¹ × 17¹ × 23¹
LCM(76227,76245) = 1937309205