What is the Least Common Multiple of 77384 and 77399?

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 77384 and 77399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77384 and 77399, than apply into the LCM equation.

GCF(77384,77399) = 1
LCM(77384,77399) = ( 77384 × 77399) / 1
LCM(77384,77399) = 5989444216 / 1
LCM(77384,77399) = 5989444216

Least Common Multiple (LCM) of 77384 and 77399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77384 and 77399. First we will calculate the prime factors of 77384 and 77399.

Prime Factorization of 77384

Prime Factorization of 77399

Now multiplying the highest exponent prime factors to calculate the LCM of 77384 and 77399.

LCM(77384,77399) = 2³ × 17¹ × 569¹ × 7¹ × 11057¹
LCM(77384,77399) = 5989444216