What is the Least Common Multiple of 87565 and 87575?

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 87565 and 87575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87565 and 87575, than apply into the LCM equation.

GCF(87565,87575) = 5
LCM(87565,87575) = ( 87565 × 87575) / 5
LCM(87565,87575) = 7668504875 / 5
LCM(87565,87575) = 1533700975

Least Common Multiple (LCM) of 87565 and 87575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87565 and 87575. First we will calculate the prime factors of 87565 and 87575.

Prime Factorization of 87565

Prime Factorization of 87575

Now multiplying the highest exponent prime factors to calculate the LCM of 87565 and 87575.

LCM(87565,87575) = 5² × 83¹ × 211¹ × 31¹ × 113¹
LCM(87565,87575) = 1533700975