What is the Least Common Multiple of 87409 and 87413?

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 87409 and 87413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87409 and 87413, than apply into the LCM equation.

GCF(87409,87413) = 1
LCM(87409,87413) = ( 87409 × 87413) / 1
LCM(87409,87413) = 7640682917 / 1
LCM(87409,87413) = 7640682917

Least Common Multiple (LCM) of 87409 and 87413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87409 and 87413. First we will calculate the prime factors of 87409 and 87413.

Prime Factorization of 87409

Prime Factorization of 87413

Now multiplying the highest exponent prime factors to calculate the LCM of 87409 and 87413.

LCM(87409,87413) = 7¹ × 12487¹ × 61¹ × 1433¹
LCM(87409,87413) = 7640682917