What is the Least Common Multiple of 39945 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 39945 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 39945 and 39954, than apply into the LCM equation.

GCF(39945,39954) = 3
LCM(39945,39954) = ( 39945 × 39954) / 3
LCM(39945,39954) = 1595962530 / 3
LCM(39945,39954) = 531987510

Least Common Multiple (LCM) of 39945 and 39954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39945 and 39954. First we will calculate the prime factors of 39945 and 39954.

Prime Factorization of 39945

Prime Factorization of 39954

Now multiplying the highest exponent prime factors to calculate the LCM of 39945 and 39954.

LCM(39945,39954) = 3¹ × 5¹ × 2663¹ × 2¹ × 6659¹
LCM(39945,39954) = 531987510