What is the Least Common Multiple of 55500 and 55516?

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 55516 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 55516, than apply into the LCM equation.

GCF(55500,55516) = 4
LCM(55500,55516) = ( 55500 × 55516) / 4
LCM(55500,55516) = 3081138000 / 4
LCM(55500,55516) = 770284500

Least Common Multiple (LCM) of 55500 and 55516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55500 and 55516. First we will calculate the prime factors of 55500 and 55516.

Prime Factorization of 55500

Prime Factorization of 55516

Now multiplying the highest exponent prime factors to calculate the LCM of 55500 and 55516.

LCM(55500,55516) = 2² × 3¹ × 5³ × 37¹ × 13879¹
LCM(55500,55516) = 770284500