What is the Least Common Multiple of 39776 and 39796?

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 39796 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 39796, than apply into the LCM equation.

GCF(39776,39796) = 4
LCM(39776,39796) = ( 39776 × 39796) / 4
LCM(39776,39796) = 1582925696 / 4
LCM(39776,39796) = 395731424

Least Common Multiple (LCM) of 39776 and 39796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39776 and 39796. First we will calculate the prime factors of 39776 and 39796.

Prime Factorization of 39776

Prime Factorization of 39796

Now multiplying the highest exponent prime factors to calculate the LCM of 39776 and 39796.

LCM(39776,39796) = 2⁵ × 11¹ × 113¹ × 9949¹
LCM(39776,39796) = 395731424