What is the Least Common Multiple of 77400 and 77418?

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 77400 and 77418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77400 and 77418, than apply into the LCM equation.

GCF(77400,77418) = 18
LCM(77400,77418) = ( 77400 × 77418) / 18
LCM(77400,77418) = 5992153200 / 18
LCM(77400,77418) = 332897400

Least Common Multiple (LCM) of 77400 and 77418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77400 and 77418. First we will calculate the prime factors of 77400 and 77418.

Prime Factorization of 77400

Prime Factorization of 77418

Now multiplying the highest exponent prime factors to calculate the LCM of 77400 and 77418.

LCM(77400,77418) = 2³ × 3² × 5² × 43¹ × 11¹ × 17¹ × 23¹
LCM(77400,77418) = 332897400