What is the Least Common Multiple of 55545 and 55561?

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 55545 and 55561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55545 and 55561, than apply into the LCM equation.

GCF(55545,55561) = 1
LCM(55545,55561) = ( 55545 × 55561) / 1
LCM(55545,55561) = 3086135745 / 1
LCM(55545,55561) = 3086135745

Least Common Multiple (LCM) of 55545 and 55561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55545 and 55561. First we will calculate the prime factors of 55545 and 55561.

Prime Factorization of 55545

Prime Factorization of 55561

Now multiplying the highest exponent prime factors to calculate the LCM of 55545 and 55561.

LCM(55545,55561) = 3¹ × 5¹ × 7¹ × 23² × 11¹ × 5051¹
LCM(55545,55561) = 3086135745