What is the Least Common Multiple of 88230 and 88241?

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 88230 and 88241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88230 and 88241, than apply into the LCM equation.

GCF(88230,88241) = 1
LCM(88230,88241) = ( 88230 × 88241) / 1
LCM(88230,88241) = 7785503430 / 1
LCM(88230,88241) = 7785503430

Least Common Multiple (LCM) of 88230 and 88241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88230 and 88241. First we will calculate the prime factors of 88230 and 88241.

Prime Factorization of 88230

Prime Factorization of 88241

Now multiplying the highest exponent prime factors to calculate the LCM of 88230 and 88241.

LCM(88230,88241) = 2¹ × 3¹ × 5¹ × 17¹ × 173¹ × 88241¹
LCM(88230,88241) = 7785503430