What is the Least Common Multiple of 55500 and 55514?

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 55500 and 55514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55500 and 55514, than apply into the LCM equation.

GCF(55500,55514) = 2
LCM(55500,55514) = ( 55500 × 55514) / 2
LCM(55500,55514) = 3081027000 / 2
LCM(55500,55514) = 1540513500

Least Common Multiple (LCM) of 55500 and 55514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55500 and 55514. First we will calculate the prime factors of 55500 and 55514.

Prime Factorization of 55500

Prime Factorization of 55514

Now multiplying the highest exponent prime factors to calculate the LCM of 55500 and 55514.

LCM(55500,55514) = 2² × 3¹ × 5³ × 37¹ × 41¹ × 677¹
LCM(55500,55514) = 1540513500