What is the Least Common Multiple of 55645 and 55663?

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 55645 and 55663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55645 and 55663, than apply into the LCM equation.

GCF(55645,55663) = 1
LCM(55645,55663) = ( 55645 × 55663) / 1
LCM(55645,55663) = 3097367635 / 1
LCM(55645,55663) = 3097367635

Least Common Multiple (LCM) of 55645 and 55663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55645 and 55663. First we will calculate the prime factors of 55645 and 55663.

Prime Factorization of 55645

Prime Factorization of 55663

Now multiplying the highest exponent prime factors to calculate the LCM of 55645 and 55663.

LCM(55645,55663) = 5¹ × 31¹ × 359¹ × 55663¹
LCM(55645,55663) = 3097367635