What is the Least Common Multiple of 73767 and 73782?

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 73767 and 73782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73767 and 73782, than apply into the LCM equation.

GCF(73767,73782) = 3
LCM(73767,73782) = ( 73767 × 73782) / 3
LCM(73767,73782) = 5442676794 / 3
LCM(73767,73782) = 1814225598

Least Common Multiple (LCM) of 73767 and 73782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73767 and 73782. First we will calculate the prime factors of 73767 and 73782.

Prime Factorization of 73767

Prime Factorization of 73782

Now multiplying the highest exponent prime factors to calculate the LCM of 73767 and 73782.

LCM(73767,73782) = 3² × 67¹ × 367¹ × 2¹ × 4099¹
LCM(73767,73782) = 1814225598