What is the Least Common Multiple of 93378 and 93388?

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 93388 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 93388, than apply into the LCM equation.

GCF(93378,93388) = 2
LCM(93378,93388) = ( 93378 × 93388) / 2
LCM(93378,93388) = 8720384664 / 2
LCM(93378,93388) = 4360192332

Least Common Multiple (LCM) of 93378 and 93388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93378 and 93388. First we will calculate the prime factors of 93378 and 93388.

Prime Factorization of 93378

Prime Factorization of 93388

Now multiplying the highest exponent prime factors to calculate the LCM of 93378 and 93388.

LCM(93378,93388) = 2² × 3¹ × 79¹ × 197¹ × 37¹ × 631¹
LCM(93378,93388) = 4360192332