What is the Least Common Multiple of 43766 and 43776?

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 43766 and 43776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43766 and 43776, than apply into the LCM equation.

GCF(43766,43776) = 2
LCM(43766,43776) = ( 43766 × 43776) / 2
LCM(43766,43776) = 1915900416 / 2
LCM(43766,43776) = 957950208

Least Common Multiple (LCM) of 43766 and 43776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43766 and 43776. First we will calculate the prime factors of 43766 and 43776.

Prime Factorization of 43766

Prime Factorization of 43776

Now multiplying the highest exponent prime factors to calculate the LCM of 43766 and 43776.

LCM(43766,43776) = 2⁸ × 79¹ × 277¹ × 3² × 19¹
LCM(43766,43776) = 957950208