What is the Least Common Multiple of 91896 and 91914?

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 91896 and 91914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91896 and 91914, than apply into the LCM equation.

GCF(91896,91914) = 6
LCM(91896,91914) = ( 91896 × 91914) / 6
LCM(91896,91914) = 8446528944 / 6
LCM(91896,91914) = 1407754824

Least Common Multiple (LCM) of 91896 and 91914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91896 and 91914. First we will calculate the prime factors of 91896 and 91914.

Prime Factorization of 91896

Prime Factorization of 91914

Now multiplying the highest exponent prime factors to calculate the LCM of 91896 and 91914.

LCM(91896,91914) = 2³ × 3¹ × 7¹ × 547¹ × 15319¹
LCM(91896,91914) = 1407754824