What is the Least Common Multiple of 4109 and 4126?

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 4109 and 4126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4109 and 4126, than apply into the LCM equation.

GCF(4109,4126) = 1
LCM(4109,4126) = ( 4109 × 4126) / 1
LCM(4109,4126) = 16953734 / 1
LCM(4109,4126) = 16953734

Least Common Multiple (LCM) of 4109 and 4126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4109 and 4126. First we will calculate the prime factors of 4109 and 4126.

Prime Factorization of 4109

Prime Factorization of 4126

Now multiplying the highest exponent prime factors to calculate the LCM of 4109 and 4126.

LCM(4109,4126) = 7¹ × 587¹ × 2¹ × 2063¹
LCM(4109,4126) = 16953734