What is the Least Common Multiple of 73264 and 73283?

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 73264 and 73283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73264 and 73283, than apply into the LCM equation.

GCF(73264,73283) = 19
LCM(73264,73283) = ( 73264 × 73283) / 19
LCM(73264,73283) = 5369005712 / 19
LCM(73264,73283) = 282579248

Least Common Multiple (LCM) of 73264 and 73283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73264 and 73283. First we will calculate the prime factors of 73264 and 73283.

Prime Factorization of 73264

Prime Factorization of 73283

Now multiplying the highest exponent prime factors to calculate the LCM of 73264 and 73283.

LCM(73264,73283) = 2⁴ × 19² × 241¹ × 7¹ × 29¹
LCM(73264,73283) = 282579248