What is the Least Common Multiple of 53268 and 53278?

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 53278 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 53278, than apply into the LCM equation.

GCF(53268,53278) = 2
LCM(53268,53278) = ( 53268 × 53278) / 2
LCM(53268,53278) = 2838012504 / 2
LCM(53268,53278) = 1419006252

Least Common Multiple (LCM) of 53268 and 53278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53268 and 53278. First we will calculate the prime factors of 53268 and 53278.

Prime Factorization of 53268

Prime Factorization of 53278

Now multiplying the highest exponent prime factors to calculate the LCM of 53268 and 53278.

LCM(53268,53278) = 2² × 3¹ × 23¹ × 193¹ × 17¹ × 1567¹
LCM(53268,53278) = 1419006252