What is the Least Common Multiple of 43776 and 43782?

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 43776 and 43782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43776 and 43782, than apply into the LCM equation.

GCF(43776,43782) = 6
LCM(43776,43782) = ( 43776 × 43782) / 6
LCM(43776,43782) = 1916600832 / 6
LCM(43776,43782) = 319433472

Least Common Multiple (LCM) of 43776 and 43782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43776 and 43782. First we will calculate the prime factors of 43776 and 43782.

Prime Factorization of 43776

Prime Factorization of 43782

Now multiplying the highest exponent prime factors to calculate the LCM of 43776 and 43782.

LCM(43776,43782) = 2⁸ × 3² × 19¹ × 7297¹
LCM(43776,43782) = 319433472