What is the Least Common Multiple of 77307 and 77314?

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 77307 and 77314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77307 and 77314, than apply into the LCM equation.

GCF(77307,77314) = 1
LCM(77307,77314) = ( 77307 × 77314) / 1
LCM(77307,77314) = 5976913398 / 1
LCM(77307,77314) = 5976913398

Least Common Multiple (LCM) of 77307 and 77314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77307 and 77314. First we will calculate the prime factors of 77307 and 77314.

Prime Factorization of 77307

Prime Factorization of 77314

Now multiplying the highest exponent prime factors to calculate the LCM of 77307 and 77314.

LCM(77307,77314) = 3¹ × 73¹ × 353¹ × 2¹ × 29¹ × 31¹ × 43¹
LCM(77307,77314) = 5976913398