What is the Least Common Multiple of 85221 and 85233?

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 85221 and 85233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85221 and 85233, than apply into the LCM equation.

GCF(85221,85233) = 3
LCM(85221,85233) = ( 85221 × 85233) / 3
LCM(85221,85233) = 7263641493 / 3
LCM(85221,85233) = 2421213831

Least Common Multiple (LCM) of 85221 and 85233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85221 and 85233. First we will calculate the prime factors of 85221 and 85233.

Prime Factorization of 85221

Prime Factorization of 85233

Now multiplying the highest exponent prime factors to calculate the LCM of 85221 and 85233.

LCM(85221,85233) = 3² × 17¹ × 557¹ × 28411¹
LCM(85221,85233) = 2421213831