What is the Least Common Multiple of 43456 and 43472?

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 43456 and 43472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43456 and 43472, than apply into the LCM equation.

GCF(43456,43472) = 16
LCM(43456,43472) = ( 43456 × 43472) / 16
LCM(43456,43472) = 1889119232 / 16
LCM(43456,43472) = 118069952

Least Common Multiple (LCM) of 43456 and 43472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43456 and 43472. First we will calculate the prime factors of 43456 and 43472.

Prime Factorization of 43456

Prime Factorization of 43472

Now multiplying the highest exponent prime factors to calculate the LCM of 43456 and 43472.

LCM(43456,43472) = 2⁶ × 7¹ × 97¹ × 11¹ × 13¹ × 19¹
LCM(43456,43472) = 118069952