What is the Least Common Multiple of 77388 and 77406?

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 77388 and 77406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77388 and 77406, than apply into the LCM equation.

GCF(77388,77406) = 6
LCM(77388,77406) = ( 77388 × 77406) / 6
LCM(77388,77406) = 5990295528 / 6
LCM(77388,77406) = 998382588

Least Common Multiple (LCM) of 77388 and 77406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77388 and 77406. First we will calculate the prime factors of 77388 and 77406.

Prime Factorization of 77388

Prime Factorization of 77406

Now multiplying the highest exponent prime factors to calculate the LCM of 77388 and 77406.

LCM(77388,77406) = 2² × 3¹ × 6449¹ × 7¹ × 19¹ × 97¹
LCM(77388,77406) = 998382588