What is the Least Common Multiple of 88840 and 88845?

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 88840 and 88845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88840 and 88845, than apply into the LCM equation.

GCF(88840,88845) = 5
LCM(88840,88845) = ( 88840 × 88845) / 5
LCM(88840,88845) = 7892989800 / 5
LCM(88840,88845) = 1578597960

Least Common Multiple (LCM) of 88840 and 88845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88840 and 88845. First we will calculate the prime factors of 88840 and 88845.

Prime Factorization of 88840

Prime Factorization of 88845

Now multiplying the highest exponent prime factors to calculate the LCM of 88840 and 88845.

LCM(88840,88845) = 2³ × 5¹ × 2221¹ × 3¹ × 5923¹
LCM(88840,88845) = 1578597960