What is the Least Common Multiple of 71250 and 71260?

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 71250 and 71260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71250 and 71260, than apply into the LCM equation.

GCF(71250,71260) = 10
LCM(71250,71260) = ( 71250 × 71260) / 10
LCM(71250,71260) = 5077275000 / 10
LCM(71250,71260) = 507727500

Least Common Multiple (LCM) of 71250 and 71260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71250 and 71260. First we will calculate the prime factors of 71250 and 71260.

Prime Factorization of 71250

Prime Factorization of 71260

Now multiplying the highest exponent prime factors to calculate the LCM of 71250 and 71260.

LCM(71250,71260) = 2² × 3¹ × 5⁴ × 19¹ × 7¹ × 509¹
LCM(71250,71260) = 507727500