What is the Least Common Multiple of 73254 and 73264?

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 73254 and 73264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73254 and 73264, than apply into the LCM equation.

GCF(73254,73264) = 2
LCM(73254,73264) = ( 73254 × 73264) / 2
LCM(73254,73264) = 5366881056 / 2
LCM(73254,73264) = 2683440528

Least Common Multiple (LCM) of 73254 and 73264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73254 and 73264. First we will calculate the prime factors of 73254 and 73264.

Prime Factorization of 73254

Prime Factorization of 73264

Now multiplying the highest exponent prime factors to calculate the LCM of 73254 and 73264.

LCM(73254,73264) = 2⁴ × 3¹ × 29¹ × 421¹ × 19¹ × 241¹
LCM(73254,73264) = 2683440528