What is the Least Common Multiple of 34138 and 34151?

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 34138 and 34151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34138 and 34151, than apply into the LCM equation.

GCF(34138,34151) = 13
LCM(34138,34151) = ( 34138 × 34151) / 13
LCM(34138,34151) = 1165846838 / 13
LCM(34138,34151) = 89680526

Least Common Multiple (LCM) of 34138 and 34151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34138 and 34151. First we will calculate the prime factors of 34138 and 34151.

Prime Factorization of 34138

Prime Factorization of 34151

Now multiplying the highest exponent prime factors to calculate the LCM of 34138 and 34151.

LCM(34138,34151) = 2¹ × 13² × 101¹ × 37¹ × 71¹
LCM(34138,34151) = 89680526