What is the Least Common Multiple of 14877 and 14896?

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 14877 and 14896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14877 and 14896, than apply into the LCM equation.

GCF(14877,14896) = 19
LCM(14877,14896) = ( 14877 × 14896) / 19
LCM(14877,14896) = 221607792 / 19
LCM(14877,14896) = 11663568

Least Common Multiple (LCM) of 14877 and 14896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14877 and 14896. First we will calculate the prime factors of 14877 and 14896.

Prime Factorization of 14877

Prime Factorization of 14896

Now multiplying the highest exponent prime factors to calculate the LCM of 14877 and 14896.

LCM(14877,14896) = 3³ × 19¹ × 29¹ × 2⁴ × 7²
LCM(14877,14896) = 11663568