What is the Least Common Multiple of 85633 and 85653?

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 85633 and 85653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85633 and 85653, than apply into the LCM equation.

GCF(85633,85653) = 1
LCM(85633,85653) = ( 85633 × 85653) / 1
LCM(85633,85653) = 7334723349 / 1
LCM(85633,85653) = 7334723349

Least Common Multiple (LCM) of 85633 and 85653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85633 and 85653. First we will calculate the prime factors of 85633 and 85653.

Prime Factorization of 85633

Prime Factorization of 85653

Now multiplying the highest exponent prime factors to calculate the LCM of 85633 and 85653.

LCM(85633,85653) = 19¹ × 4507¹ × 3² × 31¹ × 307¹
LCM(85633,85653) = 7334723349