What is the Least Common Multiple of 55300 and 55304?

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 55300 and 55304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55300 and 55304, than apply into the LCM equation.

GCF(55300,55304) = 4
LCM(55300,55304) = ( 55300 × 55304) / 4
LCM(55300,55304) = 3058311200 / 4
LCM(55300,55304) = 764577800

Least Common Multiple (LCM) of 55300 and 55304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55300 and 55304. First we will calculate the prime factors of 55300 and 55304.

Prime Factorization of 55300

Prime Factorization of 55304

Now multiplying the highest exponent prime factors to calculate the LCM of 55300 and 55304.

LCM(55300,55304) = 2³ × 5² × 7¹ × 79¹ × 31¹ × 223¹
LCM(55300,55304) = 764577800