What is the Least Common Multiple of 43888 and 43904?

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 43888 and 43904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43888 and 43904, than apply into the LCM equation.

GCF(43888,43904) = 16
LCM(43888,43904) = ( 43888 × 43904) / 16
LCM(43888,43904) = 1926858752 / 16
LCM(43888,43904) = 120428672

Least Common Multiple (LCM) of 43888 and 43904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43888 and 43904. First we will calculate the prime factors of 43888 and 43904.

Prime Factorization of 43888

Prime Factorization of 43904

Now multiplying the highest exponent prime factors to calculate the LCM of 43888 and 43904.

LCM(43888,43904) = 2⁷ × 13¹ × 211¹ × 7³
LCM(43888,43904) = 120428672