What is the Least Common Multiple of 85401 and 85406?

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 85401 and 85406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85401 and 85406, than apply into the LCM equation.

GCF(85401,85406) = 1
LCM(85401,85406) = ( 85401 × 85406) / 1
LCM(85401,85406) = 7293757806 / 1
LCM(85401,85406) = 7293757806

Least Common Multiple (LCM) of 85401 and 85406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85401 and 85406. First we will calculate the prime factors of 85401 and 85406.

Prime Factorization of 85401

Prime Factorization of 85406

Now multiplying the highest exponent prime factors to calculate the LCM of 85401 and 85406.

LCM(85401,85406) = 3³ × 3163¹ × 2¹ × 42703¹
LCM(85401,85406) = 7293757806