What is the Least Common Multiple of 84058 and 84071?

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 84058 and 84071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84058 and 84071, than apply into the LCM equation.

GCF(84058,84071) = 13
LCM(84058,84071) = ( 84058 × 84071) / 13
LCM(84058,84071) = 7066840118 / 13
LCM(84058,84071) = 543603086

Least Common Multiple (LCM) of 84058 and 84071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84058 and 84071. First we will calculate the prime factors of 84058 and 84071.

Prime Factorization of 84058

Prime Factorization of 84071

Now multiplying the highest exponent prime factors to calculate the LCM of 84058 and 84071.

LCM(84058,84071) = 2¹ × 13¹ × 53¹ × 61¹ × 29¹ × 223¹
LCM(84058,84071) = 543603086