What is the Least Common Multiple of 4114 and 4128?

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 4114 and 4128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4114 and 4128, than apply into the LCM equation.

GCF(4114,4128) = 2
LCM(4114,4128) = ( 4114 × 4128) / 2
LCM(4114,4128) = 16982592 / 2
LCM(4114,4128) = 8491296

Least Common Multiple (LCM) of 4114 and 4128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4114 and 4128. First we will calculate the prime factors of 4114 and 4128.

Prime Factorization of 4114

Prime Factorization of 4128

Now multiplying the highest exponent prime factors to calculate the LCM of 4114 and 4128.

LCM(4114,4128) = 2⁵ × 11² × 17¹ × 3¹ × 43¹
LCM(4114,4128) = 8491296