What is the Least Common Multiple of 71240 and 71250?

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 71240 and 71250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71240 and 71250, than apply into the LCM equation.

GCF(71240,71250) = 10
LCM(71240,71250) = ( 71240 × 71250) / 10
LCM(71240,71250) = 5075850000 / 10
LCM(71240,71250) = 507585000

Least Common Multiple (LCM) of 71240 and 71250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71240 and 71250. First we will calculate the prime factors of 71240 and 71250.

Prime Factorization of 71240

Prime Factorization of 71250

Now multiplying the highest exponent prime factors to calculate the LCM of 71240 and 71250.

LCM(71240,71250) = 2³ × 5⁴ × 13¹ × 137¹ × 3¹ × 19¹
LCM(71240,71250) = 507585000