What is the Least Common Multiple of 76470 and 76485?

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 76470 and 76485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76470 and 76485, than apply into the LCM equation.

GCF(76470,76485) = 15
LCM(76470,76485) = ( 76470 × 76485) / 15
LCM(76470,76485) = 5848807950 / 15
LCM(76470,76485) = 389920530

Least Common Multiple (LCM) of 76470 and 76485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76470 and 76485. First we will calculate the prime factors of 76470 and 76485.

Prime Factorization of 76470

Prime Factorization of 76485

Now multiplying the highest exponent prime factors to calculate the LCM of 76470 and 76485.

LCM(76470,76485) = 2¹ × 3¹ × 5¹ × 2549¹ × 5099¹
LCM(76470,76485) = 389920530