What is the Least Common Multiple of 49744 and 49752?

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 49744 and 49752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49744 and 49752, than apply into the LCM equation.

GCF(49744,49752) = 8
LCM(49744,49752) = ( 49744 × 49752) / 8
LCM(49744,49752) = 2474863488 / 8
LCM(49744,49752) = 309357936

Least Common Multiple (LCM) of 49744 and 49752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49744 and 49752. First we will calculate the prime factors of 49744 and 49752.

Prime Factorization of 49744

Prime Factorization of 49752

Now multiplying the highest exponent prime factors to calculate the LCM of 49744 and 49752.

LCM(49744,49752) = 2⁴ × 3109¹ × 3² × 691¹
LCM(49744,49752) = 309357936