What is the Least Common Multiple of 84896 and 84914?

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 84896 and 84914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84896 and 84914, than apply into the LCM equation.

GCF(84896,84914) = 2
LCM(84896,84914) = ( 84896 × 84914) / 2
LCM(84896,84914) = 7208858944 / 2
LCM(84896,84914) = 3604429472

Least Common Multiple (LCM) of 84896 and 84914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84896 and 84914. First we will calculate the prime factors of 84896 and 84914.

Prime Factorization of 84896

Prime Factorization of 84914

Now multiplying the highest exponent prime factors to calculate the LCM of 84896 and 84914.

LCM(84896,84914) = 2⁵ × 7¹ × 379¹ × 42457¹
LCM(84896,84914) = 3604429472