What is the Least Common Multiple of 89832 and 89840?

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 89832 and 89840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89832 and 89840, than apply into the LCM equation.

GCF(89832,89840) = 8
LCM(89832,89840) = ( 89832 × 89840) / 8
LCM(89832,89840) = 8070506880 / 8
LCM(89832,89840) = 1008813360

Least Common Multiple (LCM) of 89832 and 89840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89832 and 89840. First we will calculate the prime factors of 89832 and 89840.

Prime Factorization of 89832

Prime Factorization of 89840

Now multiplying the highest exponent prime factors to calculate the LCM of 89832 and 89840.

LCM(89832,89840) = 2⁴ × 3¹ × 19¹ × 197¹ × 5¹ × 1123¹
LCM(89832,89840) = 1008813360