What is the Least Common Multiple of 85515 and 85525?

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 85515 and 85525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85515 and 85525, than apply into the LCM equation.

GCF(85515,85525) = 5
LCM(85515,85525) = ( 85515 × 85525) / 5
LCM(85515,85525) = 7313670375 / 5
LCM(85515,85525) = 1462734075

Least Common Multiple (LCM) of 85515 and 85525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85515 and 85525. First we will calculate the prime factors of 85515 and 85525.

Prime Factorization of 85515

Prime Factorization of 85525

Now multiplying the highest exponent prime factors to calculate the LCM of 85515 and 85525.

LCM(85515,85525) = 3¹ × 5² × 5701¹ × 11¹ × 311¹
LCM(85515,85525) = 1462734075