What is the Least Common Multiple of 39140 and 39150?

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 39140 and 39150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39140 and 39150, than apply into the LCM equation.

GCF(39140,39150) = 10
LCM(39140,39150) = ( 39140 × 39150) / 10
LCM(39140,39150) = 1532331000 / 10
LCM(39140,39150) = 153233100

Least Common Multiple (LCM) of 39140 and 39150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39140 and 39150. First we will calculate the prime factors of 39140 and 39150.

Prime Factorization of 39140

Prime Factorization of 39150

Now multiplying the highest exponent prime factors to calculate the LCM of 39140 and 39150.

LCM(39140,39150) = 2² × 5² × 19¹ × 103¹ × 3³ × 29¹
LCM(39140,39150) = 153233100