What is the Least Common Multiple of 73782 and 73795?

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 73782 and 73795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73782 and 73795, than apply into the LCM equation.

GCF(73782,73795) = 1
LCM(73782,73795) = ( 73782 × 73795) / 1
LCM(73782,73795) = 5444742690 / 1
LCM(73782,73795) = 5444742690

Least Common Multiple (LCM) of 73782 and 73795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73782 and 73795. First we will calculate the prime factors of 73782 and 73795.

Prime Factorization of 73782

Prime Factorization of 73795

Now multiplying the highest exponent prime factors to calculate the LCM of 73782 and 73795.

LCM(73782,73795) = 2¹ × 3² × 4099¹ × 5¹ × 14759¹
LCM(73782,73795) = 5444742690