What is the Least Common Multiple of 87909 and 87915?

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 87909 and 87915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87909 and 87915, than apply into the LCM equation.

GCF(87909,87915) = 3
LCM(87909,87915) = ( 87909 × 87915) / 3
LCM(87909,87915) = 7728519735 / 3
LCM(87909,87915) = 2576173245

Least Common Multiple (LCM) of 87909 and 87915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87909 and 87915. First we will calculate the prime factors of 87909 and 87915.

Prime Factorization of 87909

Prime Factorization of 87915

Now multiplying the highest exponent prime factors to calculate the LCM of 87909 and 87915.

LCM(87909,87915) = 3¹ × 29303¹ × 5¹ × 5861¹
LCM(87909,87915) = 2576173245