What is the Least Common Multiple of 77314 and 77332?

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 77314 and 77332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77314 and 77332, than apply into the LCM equation.

GCF(77314,77332) = 2
LCM(77314,77332) = ( 77314 × 77332) / 2
LCM(77314,77332) = 5978846248 / 2
LCM(77314,77332) = 2989423124

Least Common Multiple (LCM) of 77314 and 77332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77314 and 77332. First we will calculate the prime factors of 77314 and 77332.

Prime Factorization of 77314

Prime Factorization of 77332

Now multiplying the highest exponent prime factors to calculate the LCM of 77314 and 77332.

LCM(77314,77332) = 2² × 29¹ × 31¹ × 43¹ × 19333¹
LCM(77314,77332) = 2989423124