What is the Least Common Multiple of 85143 and 85163?

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 85143 and 85163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85143 and 85163, than apply into the LCM equation.

GCF(85143,85163) = 1
LCM(85143,85163) = ( 85143 × 85163) / 1
LCM(85143,85163) = 7251033309 / 1
LCM(85143,85163) = 7251033309

Least Common Multiple (LCM) of 85143 and 85163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85143 and 85163. First we will calculate the prime factors of 85143 and 85163.

Prime Factorization of 85143

Prime Factorization of 85163

Now multiplying the highest exponent prime factors to calculate the LCM of 85143 and 85163.

LCM(85143,85163) = 3¹ × 101¹ × 281¹ × 13¹ × 6551¹
LCM(85143,85163) = 7251033309