What is the Least Common Multiple of 85345 and 85353?

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 85345 and 85353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85345 and 85353, than apply into the LCM equation.

GCF(85345,85353) = 1
LCM(85345,85353) = ( 85345 × 85353) / 1
LCM(85345,85353) = 7284451785 / 1
LCM(85345,85353) = 7284451785

Least Common Multiple (LCM) of 85345 and 85353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85345 and 85353. First we will calculate the prime factors of 85345 and 85353.

Prime Factorization of 85345

Prime Factorization of 85353

Now multiplying the highest exponent prime factors to calculate the LCM of 85345 and 85353.

LCM(85345,85353) = 5¹ × 13² × 101¹ × 3¹ × 23¹ × 1237¹
LCM(85345,85353) = 7284451785