What is the Least Common Multiple of 39936 and 39949?

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 39936 and 39949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39936 and 39949, than apply into the LCM equation.

GCF(39936,39949) = 13
LCM(39936,39949) = ( 39936 × 39949) / 13
LCM(39936,39949) = 1595403264 / 13
LCM(39936,39949) = 122723328

Least Common Multiple (LCM) of 39936 and 39949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39936 and 39949. First we will calculate the prime factors of 39936 and 39949.

Prime Factorization of 39936

Prime Factorization of 39949

Now multiplying the highest exponent prime factors to calculate the LCM of 39936 and 39949.

LCM(39936,39949) = 2¹⁰ × 3¹ × 13¹ × 7¹ × 439¹
LCM(39936,39949) = 122723328