What is the Least Common Multiple of 73378 and 73396?

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 73378 and 73396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73378 and 73396, than apply into the LCM equation.

GCF(73378,73396) = 2
LCM(73378,73396) = ( 73378 × 73396) / 2
LCM(73378,73396) = 5385651688 / 2
LCM(73378,73396) = 2692825844

Least Common Multiple (LCM) of 73378 and 73396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73378 and 73396. First we will calculate the prime factors of 73378 and 73396.

Prime Factorization of 73378

Prime Factorization of 73396

Now multiplying the highest exponent prime factors to calculate the LCM of 73378 and 73396.

LCM(73378,73396) = 2² × 19¹ × 1931¹ × 59¹ × 311¹
LCM(73378,73396) = 2692825844