What is the Least Common Multiple of 79696 and 79712?

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 79696 and 79712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79696 and 79712, than apply into the LCM equation.

GCF(79696,79712) = 16
LCM(79696,79712) = ( 79696 × 79712) / 16
LCM(79696,79712) = 6352727552 / 16
LCM(79696,79712) = 397045472

Least Common Multiple (LCM) of 79696 and 79712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79696 and 79712. First we will calculate the prime factors of 79696 and 79712.

Prime Factorization of 79696

Prime Factorization of 79712

Now multiplying the highest exponent prime factors to calculate the LCM of 79696 and 79712.

LCM(79696,79712) = 2⁵ × 17¹ × 293¹ × 47¹ × 53¹
LCM(79696,79712) = 397045472