What is the Least Common Multiple of 79600 and 79614?

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 79600 and 79614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79600 and 79614, than apply into the LCM equation.

GCF(79600,79614) = 2
LCM(79600,79614) = ( 79600 × 79614) / 2
LCM(79600,79614) = 6337274400 / 2
LCM(79600,79614) = 3168637200

Least Common Multiple (LCM) of 79600 and 79614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79600 and 79614. First we will calculate the prime factors of 79600 and 79614.

Prime Factorization of 79600

Prime Factorization of 79614

Now multiplying the highest exponent prime factors to calculate the LCM of 79600 and 79614.

LCM(79600,79614) = 2⁴ × 5² × 199¹ × 3² × 4423¹
LCM(79600,79614) = 3168637200