What is the Least Common Multiple of 16050 and 16055?

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 16050 and 16055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16050 and 16055, than apply into the LCM equation.

GCF(16050,16055) = 5
LCM(16050,16055) = ( 16050 × 16055) / 5
LCM(16050,16055) = 257682750 / 5
LCM(16050,16055) = 51536550

Least Common Multiple (LCM) of 16050 and 16055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16050 and 16055. First we will calculate the prime factors of 16050 and 16055.

Prime Factorization of 16050

Prime Factorization of 16055

Now multiplying the highest exponent prime factors to calculate the LCM of 16050 and 16055.

LCM(16050,16055) = 2¹ × 3¹ × 5² × 107¹ × 13² × 19¹
LCM(16050,16055) = 51536550