What is the Least Common Multiple of 55605 and 55618?

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 55605 and 55618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55605 and 55618, than apply into the LCM equation.

GCF(55605,55618) = 1
LCM(55605,55618) = ( 55605 × 55618) / 1
LCM(55605,55618) = 3092638890 / 1
LCM(55605,55618) = 3092638890

Least Common Multiple (LCM) of 55605 and 55618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55605 and 55618. First we will calculate the prime factors of 55605 and 55618.

Prime Factorization of 55605

Prime Factorization of 55618

Now multiplying the highest exponent prime factors to calculate the LCM of 55605 and 55618.

LCM(55605,55618) = 3¹ × 5¹ × 11¹ × 337¹ × 2¹ × 27809¹
LCM(55605,55618) = 3092638890