What is the Least Common Multiple of 87515 and 87521?

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 87515 and 87521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87515 and 87521, than apply into the LCM equation.

GCF(87515,87521) = 1
LCM(87515,87521) = ( 87515 × 87521) / 1
LCM(87515,87521) = 7659400315 / 1
LCM(87515,87521) = 7659400315

Least Common Multiple (LCM) of 87515 and 87521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87515 and 87521. First we will calculate the prime factors of 87515 and 87521.

Prime Factorization of 87515

Prime Factorization of 87521

Now multiplying the highest exponent prime factors to calculate the LCM of 87515 and 87521.

LCM(87515,87521) = 5¹ × 23¹ × 761¹ × 7¹ × 12503¹
LCM(87515,87521) = 7659400315