What is the Least Common Multiple of 55264 and 55278?

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 55264 and 55278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55264 and 55278, than apply into the LCM equation.

GCF(55264,55278) = 2
LCM(55264,55278) = ( 55264 × 55278) / 2
LCM(55264,55278) = 3054883392 / 2
LCM(55264,55278) = 1527441696

Least Common Multiple (LCM) of 55264 and 55278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55264 and 55278. First we will calculate the prime factors of 55264 and 55278.

Prime Factorization of 55264

Prime Factorization of 55278

Now multiplying the highest exponent prime factors to calculate the LCM of 55264 and 55278.

LCM(55264,55278) = 2⁵ × 11¹ × 157¹ × 3² × 37¹ × 83¹
LCM(55264,55278) = 1527441696