What is the Least Common Multiple of 85136 and 85143?

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 85136 and 85143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85136 and 85143, than apply into the LCM equation.

GCF(85136,85143) = 1
LCM(85136,85143) = ( 85136 × 85143) / 1
LCM(85136,85143) = 7248734448 / 1
LCM(85136,85143) = 7248734448

Least Common Multiple (LCM) of 85136 and 85143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85136 and 85143. First we will calculate the prime factors of 85136 and 85143.

Prime Factorization of 85136

Prime Factorization of 85143

Now multiplying the highest exponent prime factors to calculate the LCM of 85136 and 85143.

LCM(85136,85143) = 2⁴ × 17¹ × 313¹ × 3¹ × 101¹ × 281¹
LCM(85136,85143) = 7248734448