What is the Least Common Multiple of 89226 and 89241?

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 89226 and 89241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89226 and 89241, than apply into the LCM equation.

GCF(89226,89241) = 3
LCM(89226,89241) = ( 89226 × 89241) / 3
LCM(89226,89241) = 7962617466 / 3
LCM(89226,89241) = 2654205822

Least Common Multiple (LCM) of 89226 and 89241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89226 and 89241. First we will calculate the prime factors of 89226 and 89241.

Prime Factorization of 89226

Prime Factorization of 89241

Now multiplying the highest exponent prime factors to calculate the LCM of 89226 and 89241.

LCM(89226,89241) = 2¹ × 3² × 4957¹ × 151¹ × 197¹
LCM(89226,89241) = 2654205822