What is the Least Common Multiple of 55545 and 55565?

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 55565 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 55565, than apply into the LCM equation.

GCF(55545,55565) = 5
LCM(55545,55565) = ( 55545 × 55565) / 5
LCM(55545,55565) = 3086357925 / 5
LCM(55545,55565) = 617271585

Least Common Multiple (LCM) of 55545 and 55565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55545 and 55565. First we will calculate the prime factors of 55545 and 55565.

Prime Factorization of 55545

Prime Factorization of 55565

Now multiplying the highest exponent prime factors to calculate the LCM of 55545 and 55565.

LCM(55545,55565) = 3¹ × 5¹ × 7¹ × 23² × 11113¹
LCM(55545,55565) = 617271585