What is the Least Common Multiple of 89815 and 89832?

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 89815 and 89832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89815 and 89832, than apply into the LCM equation.

GCF(89815,89832) = 1
LCM(89815,89832) = ( 89815 × 89832) / 1
LCM(89815,89832) = 8068261080 / 1
LCM(89815,89832) = 8068261080

Least Common Multiple (LCM) of 89815 and 89832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89815 and 89832. First we will calculate the prime factors of 89815 and 89832.

Prime Factorization of 89815

Prime Factorization of 89832

Now multiplying the highest exponent prime factors to calculate the LCM of 89815 and 89832.

LCM(89815,89832) = 5¹ × 11¹ × 23¹ × 71¹ × 2³ × 3¹ × 19¹ × 197¹
LCM(89815,89832) = 8068261080