What is the Least Common Multiple of 47736 and 47744?

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 47736 and 47744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47736 and 47744, than apply into the LCM equation.

GCF(47736,47744) = 8
LCM(47736,47744) = ( 47736 × 47744) / 8
LCM(47736,47744) = 2279107584 / 8
LCM(47736,47744) = 284888448

Least Common Multiple (LCM) of 47736 and 47744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47736 and 47744. First we will calculate the prime factors of 47736 and 47744.

Prime Factorization of 47736

Prime Factorization of 47744

Now multiplying the highest exponent prime factors to calculate the LCM of 47736 and 47744.

LCM(47736,47744) = 2⁷ × 3³ × 13¹ × 17¹ × 373¹
LCM(47736,47744) = 284888448