What is the Least Common Multiple of 39040 and 39045?

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 39040 and 39045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39040 and 39045, than apply into the LCM equation.

GCF(39040,39045) = 5
LCM(39040,39045) = ( 39040 × 39045) / 5
LCM(39040,39045) = 1524316800 / 5
LCM(39040,39045) = 304863360

Least Common Multiple (LCM) of 39040 and 39045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39040 and 39045. First we will calculate the prime factors of 39040 and 39045.

Prime Factorization of 39040

Prime Factorization of 39045

Now multiplying the highest exponent prime factors to calculate the LCM of 39040 and 39045.

LCM(39040,39045) = 2⁷ × 5¹ × 61¹ × 3¹ × 19¹ × 137¹
LCM(39040,39045) = 304863360