What is the Least Common Multiple of 9234 and 9252?

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 9234 and 9252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9234 and 9252, than apply into the LCM equation.

GCF(9234,9252) = 18
LCM(9234,9252) = ( 9234 × 9252) / 18
LCM(9234,9252) = 85432968 / 18
LCM(9234,9252) = 4746276

Least Common Multiple (LCM) of 9234 and 9252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9234 and 9252. First we will calculate the prime factors of 9234 and 9252.

Prime Factorization of 9234

Prime Factorization of 9252

Now multiplying the highest exponent prime factors to calculate the LCM of 9234 and 9252.

LCM(9234,9252) = 2² × 3⁵ × 19¹ × 257¹
LCM(9234,9252) = 4746276