What is the Least Common Multiple of 74272 and 74284?

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 74272 and 74284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74272 and 74284, than apply into the LCM equation.

GCF(74272,74284) = 4
LCM(74272,74284) = ( 74272 × 74284) / 4
LCM(74272,74284) = 5517221248 / 4
LCM(74272,74284) = 1379305312

Least Common Multiple (LCM) of 74272 and 74284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74272 and 74284. First we will calculate the prime factors of 74272 and 74284.

Prime Factorization of 74272

Prime Factorization of 74284

Now multiplying the highest exponent prime factors to calculate the LCM of 74272 and 74284.

LCM(74272,74284) = 2⁵ × 11¹ × 211¹ × 7² × 379¹
LCM(74272,74284) = 1379305312