What is the Least Common Multiple of 49449 and 49456?

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 49449 and 49456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49449 and 49456, than apply into the LCM equation.

GCF(49449,49456) = 1
LCM(49449,49456) = ( 49449 × 49456) / 1
LCM(49449,49456) = 2445549744 / 1
LCM(49449,49456) = 2445549744

Least Common Multiple (LCM) of 49449 and 49456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49449 and 49456. First we will calculate the prime factors of 49449 and 49456.

Prime Factorization of 49449

Prime Factorization of 49456

Now multiplying the highest exponent prime factors to calculate the LCM of 49449 and 49456.

LCM(49449,49456) = 3¹ × 53¹ × 311¹ × 2⁴ × 11¹ × 281¹
LCM(49449,49456) = 2445549744