What is the Least Common Multiple of 71140 and 71150?

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 71140 and 71150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71140 and 71150, than apply into the LCM equation.

GCF(71140,71150) = 10
LCM(71140,71150) = ( 71140 × 71150) / 10
LCM(71140,71150) = 5061611000 / 10
LCM(71140,71150) = 506161100

Least Common Multiple (LCM) of 71140 and 71150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71140 and 71150. First we will calculate the prime factors of 71140 and 71150.

Prime Factorization of 71140

Prime Factorization of 71150

Now multiplying the highest exponent prime factors to calculate the LCM of 71140 and 71150.

LCM(71140,71150) = 2² × 5² × 3557¹ × 1423¹
LCM(71140,71150) = 506161100