What is the Least Common Multiple of 85422 and 85437?

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 85422 and 85437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85422 and 85437, than apply into the LCM equation.

GCF(85422,85437) = 3
LCM(85422,85437) = ( 85422 × 85437) / 3
LCM(85422,85437) = 7298199414 / 3
LCM(85422,85437) = 2432733138

Least Common Multiple (LCM) of 85422 and 85437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85422 and 85437. First we will calculate the prime factors of 85422 and 85437.

Prime Factorization of 85422

Prime Factorization of 85437

Now multiplying the highest exponent prime factors to calculate the LCM of 85422 and 85437.

LCM(85422,85437) = 2¹ × 3² × 23¹ × 619¹ × 11¹ × 863¹
LCM(85422,85437) = 2432733138