What is the Least Common Multiple of 87230 and 87241?

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 87230 and 87241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87230 and 87241, than apply into the LCM equation.

GCF(87230,87241) = 11
LCM(87230,87241) = ( 87230 × 87241) / 11
LCM(87230,87241) = 7610032430 / 11
LCM(87230,87241) = 691821130

Least Common Multiple (LCM) of 87230 and 87241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87230 and 87241. First we will calculate the prime factors of 87230 and 87241.

Prime Factorization of 87230

Prime Factorization of 87241

Now multiplying the highest exponent prime factors to calculate the LCM of 87230 and 87241.

LCM(87230,87241) = 2¹ × 5¹ × 11² × 13¹ × 61¹ × 7¹ × 103¹
LCM(87230,87241) = 691821130