What is the Least Common Multiple of 54990 and 55005?

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 54990 and 55005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54990 and 55005, than apply into the LCM equation.

GCF(54990,55005) = 15
LCM(54990,55005) = ( 54990 × 55005) / 15
LCM(54990,55005) = 3024724950 / 15
LCM(54990,55005) = 201648330

Least Common Multiple (LCM) of 54990 and 55005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54990 and 55005. First we will calculate the prime factors of 54990 and 55005.

Prime Factorization of 54990

Prime Factorization of 55005

Now multiplying the highest exponent prime factors to calculate the LCM of 54990 and 55005.

LCM(54990,55005) = 2¹ × 3² × 5¹ × 13¹ × 47¹ × 19¹ × 193¹
LCM(54990,55005) = 201648330