What is the Least Common Multiple of 76266 and 76285?

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 76266 and 76285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76266 and 76285, than apply into the LCM equation.

GCF(76266,76285) = 19
LCM(76266,76285) = ( 76266 × 76285) / 19
LCM(76266,76285) = 5817951810 / 19
LCM(76266,76285) = 306207990

Least Common Multiple (LCM) of 76266 and 76285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76266 and 76285. First we will calculate the prime factors of 76266 and 76285.

Prime Factorization of 76266

Prime Factorization of 76285

Now multiplying the highest exponent prime factors to calculate the LCM of 76266 and 76285.

LCM(76266,76285) = 2¹ × 3² × 19¹ × 223¹ × 5¹ × 11¹ × 73¹
LCM(76266,76285) = 306207990