What is the Least Common Multiple of 74272 and 74282?

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 74282 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 74282, than apply into the LCM equation.

GCF(74272,74282) = 2
LCM(74272,74282) = ( 74272 × 74282) / 2
LCM(74272,74282) = 5517072704 / 2
LCM(74272,74282) = 2758536352

Least Common Multiple (LCM) of 74272 and 74282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74272 and 74282. First we will calculate the prime factors of 74272 and 74282.

Prime Factorization of 74272

Prime Factorization of 74282

Now multiplying the highest exponent prime factors to calculate the LCM of 74272 and 74282.

LCM(74272,74282) = 2⁵ × 11¹ × 211¹ × 13¹ × 2857¹
LCM(74272,74282) = 2758536352