What is the Least Common Multiple of 53268 and 53283?

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 53268 and 53283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53268 and 53283, than apply into the LCM equation.

GCF(53268,53283) = 3
LCM(53268,53283) = ( 53268 × 53283) / 3
LCM(53268,53283) = 2838278844 / 3
LCM(53268,53283) = 946092948

Least Common Multiple (LCM) of 53268 and 53283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53268 and 53283. First we will calculate the prime factors of 53268 and 53283.

Prime Factorization of 53268

Prime Factorization of 53283

Now multiplying the highest exponent prime factors to calculate the LCM of 53268 and 53283.

LCM(53268,53283) = 2² × 3¹ × 23¹ × 193¹ × 17761¹
LCM(53268,53283) = 946092948