What is the Least Common Multiple of 88865 and 88870?

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 88865 and 88870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88865 and 88870, than apply into the LCM equation.

GCF(88865,88870) = 5
LCM(88865,88870) = ( 88865 × 88870) / 5
LCM(88865,88870) = 7897432550 / 5
LCM(88865,88870) = 1579486510

Least Common Multiple (LCM) of 88865 and 88870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88865 and 88870. First we will calculate the prime factors of 88865 and 88870.

Prime Factorization of 88865

Prime Factorization of 88870

Now multiplying the highest exponent prime factors to calculate the LCM of 88865 and 88870.

LCM(88865,88870) = 5¹ × 7¹ × 2539¹ × 2¹ × 8887¹
LCM(88865,88870) = 1579486510