What is the Least Common Multiple of 39920 and 39936?

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 39920 and 39936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39920 and 39936, than apply into the LCM equation.

GCF(39920,39936) = 16
LCM(39920,39936) = ( 39920 × 39936) / 16
LCM(39920,39936) = 1594245120 / 16
LCM(39920,39936) = 99640320

Least Common Multiple (LCM) of 39920 and 39936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39920 and 39936. First we will calculate the prime factors of 39920 and 39936.

Prime Factorization of 39920

Prime Factorization of 39936

Now multiplying the highest exponent prime factors to calculate the LCM of 39920 and 39936.

LCM(39920,39936) = 2¹⁰ × 5¹ × 499¹ × 3¹ × 13¹
LCM(39920,39936) = 99640320