What is the Least Common Multiple of 55500 and 55518?

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 55518 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 55518, than apply into the LCM equation.

GCF(55500,55518) = 6
LCM(55500,55518) = ( 55500 × 55518) / 6
LCM(55500,55518) = 3081249000 / 6
LCM(55500,55518) = 513541500

Least Common Multiple (LCM) of 55500 and 55518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55500 and 55518. First we will calculate the prime factors of 55500 and 55518.

Prime Factorization of 55500

Prime Factorization of 55518

Now multiplying the highest exponent prime factors to calculate the LCM of 55500 and 55518.

LCM(55500,55518) = 2² × 3¹ × 5³ × 37¹ × 19¹ × 487¹
LCM(55500,55518) = 513541500