What is the Least Common Multiple of 87241 and 87255?

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 87241 and 87255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87241 and 87255, than apply into the LCM equation.

GCF(87241,87255) = 7
LCM(87241,87255) = ( 87241 × 87255) / 7
LCM(87241,87255) = 7612213455 / 7
LCM(87241,87255) = 1087459065

Least Common Multiple (LCM) of 87241 and 87255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87241 and 87255. First we will calculate the prime factors of 87241 and 87255.

Prime Factorization of 87241

Prime Factorization of 87255

Now multiplying the highest exponent prime factors to calculate the LCM of 87241 and 87255.

LCM(87241,87255) = 7¹ × 11² × 103¹ × 3² × 5¹ × 277¹
LCM(87241,87255) = 1087459065