What is the Least Common Multiple of 54990 and 55003?

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 55003 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 55003, than apply into the LCM equation.

GCF(54990,55003) = 13
LCM(54990,55003) = ( 54990 × 55003) / 13
LCM(54990,55003) = 3024614970 / 13
LCM(54990,55003) = 232662690

Least Common Multiple (LCM) of 54990 and 55003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54990 and 55003. First we will calculate the prime factors of 54990 and 55003.

Prime Factorization of 54990

Prime Factorization of 55003

Now multiplying the highest exponent prime factors to calculate the LCM of 54990 and 55003.

LCM(54990,55003) = 2¹ × 3² × 5¹ × 13¹ × 47¹ × 4231¹
LCM(54990,55003) = 232662690