What is the Least Common Multiple of 89875 and 89887?

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 89875 and 89887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89875 and 89887, than apply into the LCM equation.

GCF(89875,89887) = 1
LCM(89875,89887) = ( 89875 × 89887) / 1
LCM(89875,89887) = 8078594125 / 1
LCM(89875,89887) = 8078594125

Least Common Multiple (LCM) of 89875 and 89887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89875 and 89887. First we will calculate the prime factors of 89875 and 89887.

Prime Factorization of 89875

Prime Factorization of 89887

Now multiplying the highest exponent prime factors to calculate the LCM of 89875 and 89887.

LCM(89875,89887) = 5³ × 719¹ × 7¹ × 12841¹
LCM(89875,89887) = 8078594125