What is the Least Common Multiple of 43920 and 43926?

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 43920 and 43926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43920 and 43926, than apply into the LCM equation.

GCF(43920,43926) = 6
LCM(43920,43926) = ( 43920 × 43926) / 6
LCM(43920,43926) = 1929229920 / 6
LCM(43920,43926) = 321538320

Least Common Multiple (LCM) of 43920 and 43926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43920 and 43926. First we will calculate the prime factors of 43920 and 43926.

Prime Factorization of 43920

Prime Factorization of 43926

Now multiplying the highest exponent prime factors to calculate the LCM of 43920 and 43926.

LCM(43920,43926) = 2⁴ × 3² × 5¹ × 61¹ × 7321¹
LCM(43920,43926) = 321538320