What is the Least Common Multiple of 94896 and 94914?

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 94896 and 94914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94896 and 94914, than apply into the LCM equation.

GCF(94896,94914) = 18
LCM(94896,94914) = ( 94896 × 94914) / 18
LCM(94896,94914) = 9006958944 / 18
LCM(94896,94914) = 500386608

Least Common Multiple (LCM) of 94896 and 94914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94896 and 94914. First we will calculate the prime factors of 94896 and 94914.

Prime Factorization of 94896

Prime Factorization of 94914

Now multiplying the highest exponent prime factors to calculate the LCM of 94896 and 94914.

LCM(94896,94914) = 2⁴ × 3² × 659¹ × 5273¹
LCM(94896,94914) = 500386608