What is the Least Common Multiple of 29026 and 29041?

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 29026 and 29041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29026 and 29041, than apply into the LCM equation.

GCF(29026,29041) = 1
LCM(29026,29041) = ( 29026 × 29041) / 1
LCM(29026,29041) = 842944066 / 1
LCM(29026,29041) = 842944066

Least Common Multiple (LCM) of 29026 and 29041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29026 and 29041. First we will calculate the prime factors of 29026 and 29041.

Prime Factorization of 29026

Prime Factorization of 29041

Now multiplying the highest exponent prime factors to calculate the LCM of 29026 and 29041.

LCM(29026,29041) = 2¹ × 23¹ × 631¹ × 113¹ × 257¹
LCM(29026,29041) = 842944066