What is the Least Common Multiple of 43392 and 43411?

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 43392 and 43411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43392 and 43411, than apply into the LCM equation.

GCF(43392,43411) = 1
LCM(43392,43411) = ( 43392 × 43411) / 1
LCM(43392,43411) = 1883690112 / 1
LCM(43392,43411) = 1883690112

Least Common Multiple (LCM) of 43392 and 43411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43392 and 43411. First we will calculate the prime factors of 43392 and 43411.

Prime Factorization of 43392

Prime Factorization of 43411

Now multiplying the highest exponent prime factors to calculate the LCM of 43392 and 43411.

LCM(43392,43411) = 2⁷ × 3¹ × 113¹ × 43411¹
LCM(43392,43411) = 1883690112