What is the Least Common Multiple of 42896 and 42914?

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 42896 and 42914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42896 and 42914, than apply into the LCM equation.

GCF(42896,42914) = 2
LCM(42896,42914) = ( 42896 × 42914) / 2
LCM(42896,42914) = 1840838944 / 2
LCM(42896,42914) = 920419472

Least Common Multiple (LCM) of 42896 and 42914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42896 and 42914. First we will calculate the prime factors of 42896 and 42914.

Prime Factorization of 42896

Prime Factorization of 42914

Now multiplying the highest exponent prime factors to calculate the LCM of 42896 and 42914.

LCM(42896,42914) = 2⁴ × 7¹ × 383¹ × 43¹ × 499¹
LCM(42896,42914) = 920419472