What is the Least Common Multiple of 95226 and 95241?

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 95226 and 95241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95226 and 95241, than apply into the LCM equation.

GCF(95226,95241) = 3
LCM(95226,95241) = ( 95226 × 95241) / 3
LCM(95226,95241) = 9069419466 / 3
LCM(95226,95241) = 3023139822

Least Common Multiple (LCM) of 95226 and 95241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95226 and 95241. First we will calculate the prime factors of 95226 and 95241.

Prime Factorization of 95226

Prime Factorization of 95241

Now multiplying the highest exponent prime factors to calculate the LCM of 95226 and 95241.

LCM(95226,95241) = 2¹ × 3¹ × 59¹ × 269¹ × 53¹ × 599¹
LCM(95226,95241) = 3023139822