What is the Least Common Multiple of 88272 and 88289?

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 88272 and 88289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88272 and 88289, than apply into the LCM equation.

GCF(88272,88289) = 1
LCM(88272,88289) = ( 88272 × 88289) / 1
LCM(88272,88289) = 7793446608 / 1
LCM(88272,88289) = 7793446608

Least Common Multiple (LCM) of 88272 and 88289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88272 and 88289. First we will calculate the prime factors of 88272 and 88289.

Prime Factorization of 88272

Prime Factorization of 88289

Now multiplying the highest exponent prime factors to calculate the LCM of 88272 and 88289.

LCM(88272,88289) = 2⁴ × 3² × 613¹ × 88289¹
LCM(88272,88289) = 7793446608