What is the Least Common Multiple of 36025 and 36041?

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 36025 and 36041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36025 and 36041, than apply into the LCM equation.

GCF(36025,36041) = 1
LCM(36025,36041) = ( 36025 × 36041) / 1
LCM(36025,36041) = 1298377025 / 1
LCM(36025,36041) = 1298377025

Least Common Multiple (LCM) of 36025 and 36041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36025 and 36041. First we will calculate the prime factors of 36025 and 36041.

Prime Factorization of 36025

Prime Factorization of 36041

Now multiplying the highest exponent prime factors to calculate the LCM of 36025 and 36041.

LCM(36025,36041) = 5² × 11¹ × 131¹ × 23¹ × 1567¹
LCM(36025,36041) = 1298377025