What is the Least Common Multiple of 9276 and 9291?

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 9276 and 9291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9276 and 9291, than apply into the LCM equation.

GCF(9276,9291) = 3
LCM(9276,9291) = ( 9276 × 9291) / 3
LCM(9276,9291) = 86183316 / 3
LCM(9276,9291) = 28727772

Least Common Multiple (LCM) of 9276 and 9291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9276 and 9291. First we will calculate the prime factors of 9276 and 9291.

Prime Factorization of 9276

Prime Factorization of 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 9276 and 9291.

LCM(9276,9291) = 2² × 3¹ × 773¹ × 19¹ × 163¹
LCM(9276,9291) = 28727772