What is the Least Common Multiple of 55264 and 55279?

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 55279 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 55279, than apply into the LCM equation.

GCF(55264,55279) = 1
LCM(55264,55279) = ( 55264 × 55279) / 1
LCM(55264,55279) = 3054938656 / 1
LCM(55264,55279) = 3054938656

Least Common Multiple (LCM) of 55264 and 55279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55264 and 55279. First we will calculate the prime factors of 55264 and 55279.

Prime Factorization of 55264

Prime Factorization of 55279

Now multiplying the highest exponent prime factors to calculate the LCM of 55264 and 55279.

LCM(55264,55279) = 2⁵ × 11¹ × 157¹ × 7¹ × 53¹ × 149¹
LCM(55264,55279) = 3054938656