What is the Least Common Multiple of 87407 and 87421?

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 87407 and 87421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87407 and 87421, than apply into the LCM equation.

GCF(87407,87421) = 1
LCM(87407,87421) = ( 87407 × 87421) / 1
LCM(87407,87421) = 7641207347 / 1
LCM(87407,87421) = 7641207347

Least Common Multiple (LCM) of 87407 and 87421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87407 and 87421. First we will calculate the prime factors of 87407 and 87421.

Prime Factorization of 87407

Prime Factorization of 87421

Now multiplying the highest exponent prime factors to calculate the LCM of 87407 and 87421.

LCM(87407,87421) = 87407¹ × 87421¹
LCM(87407,87421) = 7641207347