What is the Least Common Multiple of 73264 and 73274?

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 73274 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 73274, than apply into the LCM equation.

GCF(73264,73274) = 2
LCM(73264,73274) = ( 73264 × 73274) / 2
LCM(73264,73274) = 5368346336 / 2
LCM(73264,73274) = 2684173168

Least Common Multiple (LCM) of 73264 and 73274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73264 and 73274. First we will calculate the prime factors of 73264 and 73274.

Prime Factorization of 73264

Prime Factorization of 73274

Now multiplying the highest exponent prime factors to calculate the LCM of 73264 and 73274.

LCM(73264,73274) = 2⁴ × 19¹ × 241¹ × 36637¹
LCM(73264,73274) = 2684173168