What is the Least Common Multiple of 40896 and 40914?

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 40896 and 40914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40896 and 40914, than apply into the LCM equation.

GCF(40896,40914) = 18
LCM(40896,40914) = ( 40896 × 40914) / 18
LCM(40896,40914) = 1673218944 / 18
LCM(40896,40914) = 92956608

Least Common Multiple (LCM) of 40896 and 40914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40896 and 40914. First we will calculate the prime factors of 40896 and 40914.

Prime Factorization of 40896

Prime Factorization of 40914

Now multiplying the highest exponent prime factors to calculate the LCM of 40896 and 40914.

LCM(40896,40914) = 2⁶ × 3² × 71¹ × 2273¹
LCM(40896,40914) = 92956608