What is the Least Common Multiple of 85060 and 85075?

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 85060 and 85075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85060 and 85075, than apply into the LCM equation.

GCF(85060,85075) = 5
LCM(85060,85075) = ( 85060 × 85075) / 5
LCM(85060,85075) = 7236479500 / 5
LCM(85060,85075) = 1447295900

Least Common Multiple (LCM) of 85060 and 85075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85060 and 85075. First we will calculate the prime factors of 85060 and 85075.

Prime Factorization of 85060

Prime Factorization of 85075

Now multiplying the highest exponent prime factors to calculate the LCM of 85060 and 85075.

LCM(85060,85075) = 2² × 5² × 4253¹ × 41¹ × 83¹
LCM(85060,85075) = 1447295900