What is the Least Common Multiple of 89824 and 89830?

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 89824 and 89830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89824 and 89830, than apply into the LCM equation.

GCF(89824,89830) = 2
LCM(89824,89830) = ( 89824 × 89830) / 2
LCM(89824,89830) = 8068889920 / 2
LCM(89824,89830) = 4034444960

Least Common Multiple (LCM) of 89824 and 89830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89824 and 89830. First we will calculate the prime factors of 89824 and 89830.

Prime Factorization of 89824

Prime Factorization of 89830

Now multiplying the highest exponent prime factors to calculate the LCM of 89824 and 89830.

LCM(89824,89830) = 2⁵ × 7¹ × 401¹ × 5¹ × 13¹ × 691¹
LCM(89824,89830) = 4034444960