What is the Least Common Multiple of 39936 and 39954?

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 39954 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 39954, than apply into the LCM equation.

GCF(39936,39954) = 6
LCM(39936,39954) = ( 39936 × 39954) / 6
LCM(39936,39954) = 1595602944 / 6
LCM(39936,39954) = 265933824

Least Common Multiple (LCM) of 39936 and 39954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39936 and 39954. First we will calculate the prime factors of 39936 and 39954.

Prime Factorization of 39936

Prime Factorization of 39954

Now multiplying the highest exponent prime factors to calculate the LCM of 39936 and 39954.

LCM(39936,39954) = 2¹⁰ × 3¹ × 13¹ × 6659¹
LCM(39936,39954) = 265933824