What is the Least Common Multiple of 13053 and 13072?

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 13053 and 13072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13053 and 13072, than apply into the LCM equation.

GCF(13053,13072) = 19
LCM(13053,13072) = ( 13053 × 13072) / 19
LCM(13053,13072) = 170628816 / 19
LCM(13053,13072) = 8980464

Least Common Multiple (LCM) of 13053 and 13072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13053 and 13072. First we will calculate the prime factors of 13053 and 13072.

Prime Factorization of 13053

Prime Factorization of 13072

Now multiplying the highest exponent prime factors to calculate the LCM of 13053 and 13072.

LCM(13053,13072) = 3¹ × 19¹ × 229¹ × 2⁴ × 43¹
LCM(13053,13072) = 8980464