What is the Least Common Multiple of 85610 and 85625?

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 85610 and 85625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85610 and 85625, than apply into the LCM equation.

GCF(85610,85625) = 5
LCM(85610,85625) = ( 85610 × 85625) / 5
LCM(85610,85625) = 7330356250 / 5
LCM(85610,85625) = 1466071250

Least Common Multiple (LCM) of 85610 and 85625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85610 and 85625. First we will calculate the prime factors of 85610 and 85625.

Prime Factorization of 85610

Prime Factorization of 85625

Now multiplying the highest exponent prime factors to calculate the LCM of 85610 and 85625.

LCM(85610,85625) = 2¹ × 5⁴ × 7¹ × 1223¹ × 137¹
LCM(85610,85625) = 1466071250