What is the Least Common Multiple of 43416 and 43436?

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 43416 and 43436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43416 and 43436, than apply into the LCM equation.

GCF(43416,43436) = 4
LCM(43416,43436) = ( 43416 × 43436) / 4
LCM(43416,43436) = 1885817376 / 4
LCM(43416,43436) = 471454344

Least Common Multiple (LCM) of 43416 and 43436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43416 and 43436. First we will calculate the prime factors of 43416 and 43436.

Prime Factorization of 43416

Prime Factorization of 43436

Now multiplying the highest exponent prime factors to calculate the LCM of 43416 and 43436.

LCM(43416,43436) = 2³ × 3⁴ × 67¹ × 10859¹
LCM(43416,43436) = 471454344