What is the Least Common Multiple of 91233 and 91248?

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 91233 and 91248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91233 and 91248, than apply into the LCM equation.

GCF(91233,91248) = 3
LCM(91233,91248) = ( 91233 × 91248) / 3
LCM(91233,91248) = 8324828784 / 3
LCM(91233,91248) = 2774942928

Least Common Multiple (LCM) of 91233 and 91248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91233 and 91248. First we will calculate the prime factors of 91233 and 91248.

Prime Factorization of 91233

Prime Factorization of 91248

Now multiplying the highest exponent prime factors to calculate the LCM of 91233 and 91248.

LCM(91233,91248) = 3³ × 31¹ × 109¹ × 2⁴ × 1901¹
LCM(91233,91248) = 2774942928