What is the Least Common Multiple of 77394 and 77400?

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 77394 and 77400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77394 and 77400, than apply into the LCM equation.

GCF(77394,77400) = 6
LCM(77394,77400) = ( 77394 × 77400) / 6
LCM(77394,77400) = 5990295600 / 6
LCM(77394,77400) = 998382600

Least Common Multiple (LCM) of 77394 and 77400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77394 and 77400. First we will calculate the prime factors of 77394 and 77400.

Prime Factorization of 77394

Prime Factorization of 77400

Now multiplying the highest exponent prime factors to calculate the LCM of 77394 and 77400.

LCM(77394,77400) = 2³ × 3² × 12899¹ × 5² × 43¹
LCM(77394,77400) = 998382600