What is the Least Common Multiple of 39728 and 39735?

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 39728 and 39735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39728 and 39735, than apply into the LCM equation.

GCF(39728,39735) = 1
LCM(39728,39735) = ( 39728 × 39735) / 1
LCM(39728,39735) = 1578592080 / 1
LCM(39728,39735) = 1578592080

Least Common Multiple (LCM) of 39728 and 39735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39728 and 39735. First we will calculate the prime factors of 39728 and 39735.

Prime Factorization of 39728

Prime Factorization of 39735

Now multiplying the highest exponent prime factors to calculate the LCM of 39728 and 39735.

LCM(39728,39735) = 2⁴ × 13¹ × 191¹ × 3² × 5¹ × 883¹
LCM(39728,39735) = 1578592080