What is the Least Common Multiple of 11896 and 11914?

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 11896 and 11914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11896 and 11914, than apply into the LCM equation.

GCF(11896,11914) = 2
LCM(11896,11914) = ( 11896 × 11914) / 2
LCM(11896,11914) = 141728944 / 2
LCM(11896,11914) = 70864472

Least Common Multiple (LCM) of 11896 and 11914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11896 and 11914. First we will calculate the prime factors of 11896 and 11914.

Prime Factorization of 11896

Prime Factorization of 11914

Now multiplying the highest exponent prime factors to calculate the LCM of 11896 and 11914.

LCM(11896,11914) = 2³ × 1487¹ × 7¹ × 23¹ × 37¹
LCM(11896,11914) = 70864472