What is the Least Common Multiple of 43424 and 43432?

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 43424 and 43432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43424 and 43432, than apply into the LCM equation.

GCF(43424,43432) = 8
LCM(43424,43432) = ( 43424 × 43432) / 8
LCM(43424,43432) = 1885991168 / 8
LCM(43424,43432) = 235748896

Least Common Multiple (LCM) of 43424 and 43432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43424 and 43432. First we will calculate the prime factors of 43424 and 43432.

Prime Factorization of 43424

Prime Factorization of 43432

Now multiplying the highest exponent prime factors to calculate the LCM of 43424 and 43432.

LCM(43424,43432) = 2⁵ × 23¹ × 59¹ × 61¹ × 89¹
LCM(43424,43432) = 235748896