What is the Least Common Multiple of 77312 and 77319?

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 77312 and 77319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77312 and 77319, than apply into the LCM equation.

GCF(77312,77319) = 1
LCM(77312,77319) = ( 77312 × 77319) / 1
LCM(77312,77319) = 5977686528 / 1
LCM(77312,77319) = 5977686528

Least Common Multiple (LCM) of 77312 and 77319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77312 and 77319. First we will calculate the prime factors of 77312 and 77319.

Prime Factorization of 77312

Prime Factorization of 77319

Now multiplying the highest exponent prime factors to calculate the LCM of 77312 and 77319.

LCM(77312,77319) = 2⁹ × 151¹ × 3² × 11² × 71¹
LCM(77312,77319) = 5977686528