What is the Least Common Multiple of 85838 and 85851?

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 85838 and 85851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85838 and 85851, than apply into the LCM equation.

GCF(85838,85851) = 1
LCM(85838,85851) = ( 85838 × 85851) / 1
LCM(85838,85851) = 7369278138 / 1
LCM(85838,85851) = 7369278138

Least Common Multiple (LCM) of 85838 and 85851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85838 and 85851. First we will calculate the prime factors of 85838 and 85851.

Prime Factorization of 85838

Prime Factorization of 85851

Now multiplying the highest exponent prime factors to calculate the LCM of 85838 and 85851.

LCM(85838,85851) = 2¹ × 167¹ × 257¹ × 3² × 9539¹
LCM(85838,85851) = 7369278138