What is the Least Common Multiple of 88944 and 88961?

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 88944 and 88961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88944 and 88961, than apply into the LCM equation.

GCF(88944,88961) = 17
LCM(88944,88961) = ( 88944 × 88961) / 17
LCM(88944,88961) = 7912547184 / 17
LCM(88944,88961) = 465443952

Least Common Multiple (LCM) of 88944 and 88961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88944 and 88961. First we will calculate the prime factors of 88944 and 88961.

Prime Factorization of 88944

Prime Factorization of 88961

Now multiplying the highest exponent prime factors to calculate the LCM of 88944 and 88961.

LCM(88944,88961) = 2⁴ × 3¹ × 17¹ × 109¹ × 5233¹
LCM(88944,88961) = 465443952