What is the Least Common Multiple of 43424 and 43444?

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 43444 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 43444, than apply into the LCM equation.

GCF(43424,43444) = 4
LCM(43424,43444) = ( 43424 × 43444) / 4
LCM(43424,43444) = 1886512256 / 4
LCM(43424,43444) = 471628064

Least Common Multiple (LCM) of 43424 and 43444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43424 and 43444. First we will calculate the prime factors of 43424 and 43444.

Prime Factorization of 43424

Prime Factorization of 43444

Now multiplying the highest exponent prime factors to calculate the LCM of 43424 and 43444.

LCM(43424,43444) = 2⁵ × 23¹ × 59¹ × 10861¹
LCM(43424,43444) = 471628064