What is the Least Common Multiple of 85233 and 85245?

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 85233 and 85245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85233 and 85245, than apply into the LCM equation.

GCF(85233,85245) = 3
LCM(85233,85245) = ( 85233 × 85245) / 3
LCM(85233,85245) = 7265687085 / 3
LCM(85233,85245) = 2421895695

Least Common Multiple (LCM) of 85233 and 85245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85233 and 85245. First we will calculate the prime factors of 85233 and 85245.

Prime Factorization of 85233

Prime Factorization of 85245

Now multiplying the highest exponent prime factors to calculate the LCM of 85233 and 85245.

LCM(85233,85245) = 3¹ × 28411¹ × 5¹ × 5683¹
LCM(85233,85245) = 2421895695