What is the Least Common Multiple of 85838 and 85848?

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 85848 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 85848, than apply into the LCM equation.

GCF(85838,85848) = 2
LCM(85838,85848) = ( 85838 × 85848) / 2
LCM(85838,85848) = 7369020624 / 2
LCM(85838,85848) = 3684510312

Least Common Multiple (LCM) of 85838 and 85848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85838 and 85848. First we will calculate the prime factors of 85838 and 85848.

Prime Factorization of 85838

Prime Factorization of 85848

Now multiplying the highest exponent prime factors to calculate the LCM of 85838 and 85848.

LCM(85838,85848) = 2³ × 167¹ × 257¹ × 3¹ × 7² × 73¹
LCM(85838,85848) = 3684510312