What is the Least Common Multiple of 4114 and 4127?

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 4127 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 4127, than apply into the LCM equation.

GCF(4114,4127) = 1
LCM(4114,4127) = ( 4114 × 4127) / 1
LCM(4114,4127) = 16978478 / 1
LCM(4114,4127) = 16978478

Least Common Multiple (LCM) of 4114 and 4127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4114 and 4127. First we will calculate the prime factors of 4114 and 4127.

Prime Factorization of 4114

Prime Factorization of 4127

Now multiplying the highest exponent prime factors to calculate the LCM of 4114 and 4127.

LCM(4114,4127) = 2¹ × 11² × 17¹ × 4127¹
LCM(4114,4127) = 16978478