What is the Least Common Multiple of 93378 and 93390?

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 93378 and 93390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93378 and 93390, than apply into the LCM equation.

GCF(93378,93390) = 6
LCM(93378,93390) = ( 93378 × 93390) / 6
LCM(93378,93390) = 8720571420 / 6
LCM(93378,93390) = 1453428570

Least Common Multiple (LCM) of 93378 and 93390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93378 and 93390. First we will calculate the prime factors of 93378 and 93390.

Prime Factorization of 93378

Prime Factorization of 93390

Now multiplying the highest exponent prime factors to calculate the LCM of 93378 and 93390.

LCM(93378,93390) = 2¹ × 3¹ × 79¹ × 197¹ × 5¹ × 11¹ × 283¹
LCM(93378,93390) = 1453428570