What is the Least Common Multiple of 85390 and 85405?

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 85390 and 85405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85390 and 85405, than apply into the LCM equation.

GCF(85390,85405) = 5
LCM(85390,85405) = ( 85390 × 85405) / 5
LCM(85390,85405) = 7292732950 / 5
LCM(85390,85405) = 1458546590

Least Common Multiple (LCM) of 85390 and 85405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85390 and 85405. First we will calculate the prime factors of 85390 and 85405.

Prime Factorization of 85390

Prime Factorization of 85405

Now multiplying the highest exponent prime factors to calculate the LCM of 85390 and 85405.

LCM(85390,85405) = 2¹ × 5¹ × 8539¹ × 19¹ × 29¹ × 31¹
LCM(85390,85405) = 1458546590