What is the Least Common Multiple of 39036 and 39040?

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 39036 and 39040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39036 and 39040, than apply into the LCM equation.

GCF(39036,39040) = 4
LCM(39036,39040) = ( 39036 × 39040) / 4
LCM(39036,39040) = 1523965440 / 4
LCM(39036,39040) = 380991360

Least Common Multiple (LCM) of 39036 and 39040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39036 and 39040. First we will calculate the prime factors of 39036 and 39040.

Prime Factorization of 39036

Prime Factorization of 39040

Now multiplying the highest exponent prime factors to calculate the LCM of 39036 and 39040.

LCM(39036,39040) = 2⁷ × 3¹ × 3253¹ × 5¹ × 61¹
LCM(39036,39040) = 380991360