What is the Least Common Multiple of 55300 and 55318?

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 55318 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 55318, than apply into the LCM equation.

GCF(55300,55318) = 2
LCM(55300,55318) = ( 55300 × 55318) / 2
LCM(55300,55318) = 3059085400 / 2
LCM(55300,55318) = 1529542700

Least Common Multiple (LCM) of 55300 and 55318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55300 and 55318. First we will calculate the prime factors of 55300 and 55318.

Prime Factorization of 55300

Prime Factorization of 55318

Now multiplying the highest exponent prime factors to calculate the LCM of 55300 and 55318.

LCM(55300,55318) = 2² × 5² × 7¹ × 79¹ × 17¹ × 1627¹
LCM(55300,55318) = 1529542700