What is the Least Common Multiple of 39776 and 39782?

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 39776 and 39782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39776 and 39782, than apply into the LCM equation.

GCF(39776,39782) = 2
LCM(39776,39782) = ( 39776 × 39782) / 2
LCM(39776,39782) = 1582368832 / 2
LCM(39776,39782) = 791184416

Least Common Multiple (LCM) of 39776 and 39782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39776 and 39782. First we will calculate the prime factors of 39776 and 39782.

Prime Factorization of 39776

Prime Factorization of 39782

Now multiplying the highest exponent prime factors to calculate the LCM of 39776 and 39782.

LCM(39776,39782) = 2⁵ × 11¹ × 113¹ × 19891¹
LCM(39776,39782) = 791184416