What is the Least Common Multiple of 90378 and 90394?

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 90378 and 90394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90378 and 90394, than apply into the LCM equation.

GCF(90378,90394) = 2
LCM(90378,90394) = ( 90378 × 90394) / 2
LCM(90378,90394) = 8169628932 / 2
LCM(90378,90394) = 4084814466

Least Common Multiple (LCM) of 90378 and 90394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90378 and 90394. First we will calculate the prime factors of 90378 and 90394.

Prime Factorization of 90378

Prime Factorization of 90394

Now multiplying the highest exponent prime factors to calculate the LCM of 90378 and 90394.

LCM(90378,90394) = 2¹ × 3² × 5021¹ × 45197¹
LCM(90378,90394) = 4084814466