What is the Least Common Multiple of 59149 and 59166?

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 59149 and 59166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59149 and 59166, than apply into the LCM equation.

GCF(59149,59166) = 1
LCM(59149,59166) = ( 59149 × 59166) / 1
LCM(59149,59166) = 3499609734 / 1
LCM(59149,59166) = 3499609734

Least Common Multiple (LCM) of 59149 and 59166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59149 and 59166. First we will calculate the prime factors of 59149 and 59166.

Prime Factorization of 59149

Prime Factorization of 59166

Now multiplying the highest exponent prime factors to calculate the LCM of 59149 and 59166.

LCM(59149,59166) = 59149¹ × 2¹ × 3² × 19¹ × 173¹
LCM(59149,59166) = 3499609734