What is the Least Common Multiple of 43380 and 43392?

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 43380 and 43392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43380 and 43392, than apply into the LCM equation.

GCF(43380,43392) = 12
LCM(43380,43392) = ( 43380 × 43392) / 12
LCM(43380,43392) = 1882344960 / 12
LCM(43380,43392) = 156862080

Least Common Multiple (LCM) of 43380 and 43392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43380 and 43392. First we will calculate the prime factors of 43380 and 43392.

Prime Factorization of 43380

Prime Factorization of 43392

Now multiplying the highest exponent prime factors to calculate the LCM of 43380 and 43392.

LCM(43380,43392) = 2⁷ × 3² × 5¹ × 241¹ × 113¹
LCM(43380,43392) = 156862080