What is the Least Common Multiple of 84029 and 84041?

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 84029 and 84041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84029 and 84041, than apply into the LCM equation.

GCF(84029,84041) = 1
LCM(84029,84041) = ( 84029 × 84041) / 1
LCM(84029,84041) = 7061881189 / 1
LCM(84029,84041) = 7061881189

Least Common Multiple (LCM) of 84029 and 84041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84029 and 84041. First we will calculate the prime factors of 84029 and 84041.

Prime Factorization of 84029

Prime Factorization of 84041

Now multiplying the highest exponent prime factors to calculate the LCM of 84029 and 84041.

LCM(84029,84041) = 11¹ × 7639¹ × 31¹ × 2711¹
LCM(84029,84041) = 7061881189