What is the Least Common Multiple of 89029 and 89041?

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 89029 and 89041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89029 and 89041, than apply into the LCM equation.

GCF(89029,89041) = 1
LCM(89029,89041) = ( 89029 × 89041) / 1
LCM(89029,89041) = 7927231189 / 1
LCM(89029,89041) = 7927231189

Least Common Multiple (LCM) of 89029 and 89041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89029 and 89041. First we will calculate the prime factors of 89029 and 89041.

Prime Factorization of 89029

Prime Factorization of 89041

Now multiplying the highest exponent prime factors to calculate the LCM of 89029 and 89041.

LCM(89029,89041) = 17¹ × 5237¹ × 89041¹
LCM(89029,89041) = 7927231189