What is the Least Common Multiple of 13050 and 13059?

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 13050 and 13059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13050 and 13059, than apply into the LCM equation.

GCF(13050,13059) = 9
LCM(13050,13059) = ( 13050 × 13059) / 9
LCM(13050,13059) = 170419950 / 9
LCM(13050,13059) = 18935550

Least Common Multiple (LCM) of 13050 and 13059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13050 and 13059. First we will calculate the prime factors of 13050 and 13059.

Prime Factorization of 13050

Prime Factorization of 13059

Now multiplying the highest exponent prime factors to calculate the LCM of 13050 and 13059.

LCM(13050,13059) = 2¹ × 3² × 5² × 29¹ × 1451¹
LCM(13050,13059) = 18935550