What is the Least Common Multiple of 45058 and 45071?

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 45058 and 45071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45058 and 45071, than apply into the LCM equation.

GCF(45058,45071) = 13
LCM(45058,45071) = ( 45058 × 45071) / 13
LCM(45058,45071) = 2030809118 / 13
LCM(45058,45071) = 156216086

Least Common Multiple (LCM) of 45058 and 45071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45058 and 45071. First we will calculate the prime factors of 45058 and 45071.

Prime Factorization of 45058

Prime Factorization of 45071

Now multiplying the highest exponent prime factors to calculate the LCM of 45058 and 45071.

LCM(45058,45071) = 2¹ × 13¹ × 1733¹ × 3467¹
LCM(45058,45071) = 156216086