What is the Least Common Multiple of 85530 and 85539?

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 85530 and 85539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85530 and 85539, than apply into the LCM equation.

GCF(85530,85539) = 3
LCM(85530,85539) = ( 85530 × 85539) / 3
LCM(85530,85539) = 7316150670 / 3
LCM(85530,85539) = 2438716890

Least Common Multiple (LCM) of 85530 and 85539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85530 and 85539. First we will calculate the prime factors of 85530 and 85539.

Prime Factorization of 85530

Prime Factorization of 85539

Now multiplying the highest exponent prime factors to calculate the LCM of 85530 and 85539.

LCM(85530,85539) = 2¹ × 3¹ × 5¹ × 2851¹ × 28513¹
LCM(85530,85539) = 2438716890