What is the Least Common Multiple of 35109 and 35113?

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 35109 and 35113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35109 and 35113, than apply into the LCM equation.

GCF(35109,35113) = 1
LCM(35109,35113) = ( 35109 × 35113) / 1
LCM(35109,35113) = 1232782317 / 1
LCM(35109,35113) = 1232782317

Least Common Multiple (LCM) of 35109 and 35113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35109 and 35113. First we will calculate the prime factors of 35109 and 35113.

Prime Factorization of 35109

Prime Factorization of 35113

Now multiplying the highest exponent prime factors to calculate the LCM of 35109 and 35113.

LCM(35109,35113) = 3² × 47¹ × 83¹ × 13¹ × 37¹ × 73¹
LCM(35109,35113) = 1232782317