What is the Least Common Multiple of 43108 and 43121?

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 43108 and 43121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43108 and 43121, than apply into the LCM equation.

GCF(43108,43121) = 13
LCM(43108,43121) = ( 43108 × 43121) / 13
LCM(43108,43121) = 1858860068 / 13
LCM(43108,43121) = 142989236

Least Common Multiple (LCM) of 43108 and 43121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43108 and 43121. First we will calculate the prime factors of 43108 and 43121.

Prime Factorization of 43108

Prime Factorization of 43121

Now multiplying the highest exponent prime factors to calculate the LCM of 43108 and 43121.

LCM(43108,43121) = 2² × 13¹ × 829¹ × 31¹ × 107¹
LCM(43108,43121) = 142989236