What is the Least Common Multiple of 43456 and 43470?

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 43470 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 43470, than apply into the LCM equation.

GCF(43456,43470) = 14
LCM(43456,43470) = ( 43456 × 43470) / 14
LCM(43456,43470) = 1889032320 / 14
LCM(43456,43470) = 134930880

Least Common Multiple (LCM) of 43456 and 43470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43456 and 43470. First we will calculate the prime factors of 43456 and 43470.

Prime Factorization of 43456

Prime Factorization of 43470

Now multiplying the highest exponent prime factors to calculate the LCM of 43456 and 43470.

LCM(43456,43470) = 2⁶ × 7¹ × 97¹ × 3³ × 5¹ × 23¹
LCM(43456,43470) = 134930880