What is the Least Common Multiple of 85506 and 85513?

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 85506 and 85513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85506 and 85513, than apply into the LCM equation.

GCF(85506,85513) = 1
LCM(85506,85513) = ( 85506 × 85513) / 1
LCM(85506,85513) = 7311874578 / 1
LCM(85506,85513) = 7311874578

Least Common Multiple (LCM) of 85506 and 85513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85506 and 85513. First we will calculate the prime factors of 85506 and 85513.

Prime Factorization of 85506

Prime Factorization of 85513

Now multiplying the highest exponent prime factors to calculate the LCM of 85506 and 85513.

LCM(85506,85513) = 2¹ × 3¹ × 14251¹ × 85513¹
LCM(85506,85513) = 7311874578