What is the Least Common Multiple of 4123 and 4139?

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 4123 and 4139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4123 and 4139, than apply into the LCM equation.

GCF(4123,4139) = 1
LCM(4123,4139) = ( 4123 × 4139) / 1
LCM(4123,4139) = 17065097 / 1
LCM(4123,4139) = 17065097

Least Common Multiple (LCM) of 4123 and 4139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4123 and 4139. First we will calculate the prime factors of 4123 and 4139.

Prime Factorization of 4123

Prime Factorization of 4139

Now multiplying the highest exponent prime factors to calculate the LCM of 4123 and 4139.

LCM(4123,4139) = 7¹ × 19¹ × 31¹ × 4139¹
LCM(4123,4139) = 17065097