What is the Least Common Multiple of 76608 and 76614?

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 76608 and 76614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76608 and 76614, than apply into the LCM equation.

GCF(76608,76614) = 6
LCM(76608,76614) = ( 76608 × 76614) / 6
LCM(76608,76614) = 5869245312 / 6
LCM(76608,76614) = 978207552

Least Common Multiple (LCM) of 76608 and 76614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76608 and 76614. First we will calculate the prime factors of 76608 and 76614.

Prime Factorization of 76608

Prime Factorization of 76614

Now multiplying the highest exponent prime factors to calculate the LCM of 76608 and 76614.

LCM(76608,76614) = 2⁶ × 3² × 7¹ × 19¹ × 113²
LCM(76608,76614) = 978207552