What is the Least Common Multiple of 34896 and 34914?

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 34896 and 34914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34896 and 34914, than apply into the LCM equation.

GCF(34896,34914) = 6
LCM(34896,34914) = ( 34896 × 34914) / 6
LCM(34896,34914) = 1218358944 / 6
LCM(34896,34914) = 203059824

Least Common Multiple (LCM) of 34896 and 34914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34896 and 34914. First we will calculate the prime factors of 34896 and 34914.

Prime Factorization of 34896

Prime Factorization of 34914

Now multiplying the highest exponent prime factors to calculate the LCM of 34896 and 34914.

LCM(34896,34914) = 2⁴ × 3¹ × 727¹ × 11¹ × 23²
LCM(34896,34914) = 203059824