What is the Least Common Multiple of 76896 and 76914?

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 76896 and 76914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76896 and 76914, than apply into the LCM equation.

GCF(76896,76914) = 18
LCM(76896,76914) = ( 76896 × 76914) / 18
LCM(76896,76914) = 5914378944 / 18
LCM(76896,76914) = 328576608

Least Common Multiple (LCM) of 76896 and 76914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76896 and 76914. First we will calculate the prime factors of 76896 and 76914.

Prime Factorization of 76896

Prime Factorization of 76914

Now multiplying the highest exponent prime factors to calculate the LCM of 76896 and 76914.

LCM(76896,76914) = 2⁵ × 3³ × 89¹ × 4273¹
LCM(76896,76914) = 328576608