What is the Least Common Multiple of 71490 and 71500?

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 71490 and 71500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71490 and 71500, than apply into the LCM equation.

GCF(71490,71500) = 10
LCM(71490,71500) = ( 71490 × 71500) / 10
LCM(71490,71500) = 5111535000 / 10
LCM(71490,71500) = 511153500

Least Common Multiple (LCM) of 71490 and 71500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71490 and 71500. First we will calculate the prime factors of 71490 and 71500.

Prime Factorization of 71490

Prime Factorization of 71500

Now multiplying the highest exponent prime factors to calculate the LCM of 71490 and 71500.

LCM(71490,71500) = 2² × 3¹ × 5³ × 2383¹ × 11¹ × 13¹
LCM(71490,71500) = 511153500