What is the Least Common Multiple of 15059 and 15077?

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 15059 and 15077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15059 and 15077, than apply into the LCM equation.

GCF(15059,15077) = 1
LCM(15059,15077) = ( 15059 × 15077) / 1
LCM(15059,15077) = 227044543 / 1
LCM(15059,15077) = 227044543

Least Common Multiple (LCM) of 15059 and 15077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15059 and 15077. First we will calculate the prime factors of 15059 and 15077.

Prime Factorization of 15059

Prime Factorization of 15077

Now multiplying the highest exponent prime factors to calculate the LCM of 15059 and 15077.

LCM(15059,15077) = 11¹ × 37² × 15077¹
LCM(15059,15077) = 227044543