What is the Least Common Multiple of 55250 and 55264?

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 55250 and 55264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55250 and 55264, than apply into the LCM equation.

GCF(55250,55264) = 2
LCM(55250,55264) = ( 55250 × 55264) / 2
LCM(55250,55264) = 3053336000 / 2
LCM(55250,55264) = 1526668000

Least Common Multiple (LCM) of 55250 and 55264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55250 and 55264. First we will calculate the prime factors of 55250 and 55264.

Prime Factorization of 55250

Prime Factorization of 55264

Now multiplying the highest exponent prime factors to calculate the LCM of 55250 and 55264.

LCM(55250,55264) = 2⁵ × 5³ × 13¹ × 17¹ × 11¹ × 157¹
LCM(55250,55264) = 1526668000