What is the Least Common Multiple of 14124 and 14128?

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 14124 and 14128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14124 and 14128, than apply into the LCM equation.

GCF(14124,14128) = 4
LCM(14124,14128) = ( 14124 × 14128) / 4
LCM(14124,14128) = 199543872 / 4
LCM(14124,14128) = 49885968

Least Common Multiple (LCM) of 14124 and 14128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14124 and 14128. First we will calculate the prime factors of 14124 and 14128.

Prime Factorization of 14124

Prime Factorization of 14128

Now multiplying the highest exponent prime factors to calculate the LCM of 14124 and 14128.

LCM(14124,14128) = 2⁴ × 3¹ × 11¹ × 107¹ × 883¹
LCM(14124,14128) = 49885968