What is the Least Common Multiple of 88842 and 88859?

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 88842 and 88859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88842 and 88859, than apply into the LCM equation.

GCF(88842,88859) = 17
LCM(88842,88859) = ( 88842 × 88859) / 17
LCM(88842,88859) = 7894411278 / 17
LCM(88842,88859) = 464377134

Least Common Multiple (LCM) of 88842 and 88859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88842 and 88859. First we will calculate the prime factors of 88842 and 88859.

Prime Factorization of 88842

Prime Factorization of 88859

Now multiplying the highest exponent prime factors to calculate the LCM of 88842 and 88859.

LCM(88842,88859) = 2¹ × 3¹ × 13¹ × 17¹ × 67¹ × 5227¹
LCM(88842,88859) = 464377134