What is the Least Common Multiple of 55344 and 55362?

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 55344 and 55362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55344 and 55362, than apply into the LCM equation.

GCF(55344,55362) = 6
LCM(55344,55362) = ( 55344 × 55362) / 6
LCM(55344,55362) = 3063954528 / 6
LCM(55344,55362) = 510659088

Least Common Multiple (LCM) of 55344 and 55362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55344 and 55362. First we will calculate the prime factors of 55344 and 55362.

Prime Factorization of 55344

Prime Factorization of 55362

Now multiplying the highest exponent prime factors to calculate the LCM of 55344 and 55362.

LCM(55344,55362) = 2⁴ × 3¹ × 1153¹ × 9227¹
LCM(55344,55362) = 510659088