What is the Least Common Multiple of 85851 and 85871?

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 85851 and 85871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85851 and 85871, than apply into the LCM equation.

GCF(85851,85871) = 1
LCM(85851,85871) = ( 85851 × 85871) / 1
LCM(85851,85871) = 7372111221 / 1
LCM(85851,85871) = 7372111221

Least Common Multiple (LCM) of 85851 and 85871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85851 and 85871. First we will calculate the prime factors of 85851 and 85871.

Prime Factorization of 85851

Prime Factorization of 85871

Now multiplying the highest exponent prime factors to calculate the LCM of 85851 and 85871.

LCM(85851,85871) = 3² × 9539¹ × 43¹ × 1997¹
LCM(85851,85871) = 7372111221