What is the Least Common Multiple of 82070 and 82075?

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 82070 and 82075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82070 and 82075, than apply into the LCM equation.

GCF(82070,82075) = 5
LCM(82070,82075) = ( 82070 × 82075) / 5
LCM(82070,82075) = 6735895250 / 5
LCM(82070,82075) = 1347179050

Least Common Multiple (LCM) of 82070 and 82075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82070 and 82075. First we will calculate the prime factors of 82070 and 82075.

Prime Factorization of 82070

Prime Factorization of 82075

Now multiplying the highest exponent prime factors to calculate the LCM of 82070 and 82075.

LCM(82070,82075) = 2¹ × 5² × 29¹ × 283¹ × 7² × 67¹
LCM(82070,82075) = 1347179050