What is the Least Common Multiple of 57896 and 57914?

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 57896 and 57914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57896 and 57914, than apply into the LCM equation.

GCF(57896,57914) = 2
LCM(57896,57914) = ( 57896 × 57914) / 2
LCM(57896,57914) = 3352988944 / 2
LCM(57896,57914) = 1676494472

Least Common Multiple (LCM) of 57896 and 57914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57896 and 57914. First we will calculate the prime factors of 57896 and 57914.

Prime Factorization of 57896

Prime Factorization of 57914

Now multiplying the highest exponent prime factors to calculate the LCM of 57896 and 57914.

LCM(57896,57914) = 2³ × 7237¹ × 23¹ × 1259¹
LCM(57896,57914) = 1676494472