What is the Least Common Multiple of 55305 and 55312?

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 55305 and 55312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55305 and 55312, than apply into the LCM equation.

GCF(55305,55312) = 1
LCM(55305,55312) = ( 55305 × 55312) / 1
LCM(55305,55312) = 3059030160 / 1
LCM(55305,55312) = 3059030160

Least Common Multiple (LCM) of 55305 and 55312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55305 and 55312. First we will calculate the prime factors of 55305 and 55312.

Prime Factorization of 55305

Prime Factorization of 55312

Now multiplying the highest exponent prime factors to calculate the LCM of 55305 and 55312.

LCM(55305,55312) = 3² × 5¹ × 1229¹ × 2⁴ × 3457¹
LCM(55305,55312) = 3059030160