What is the Least Common Multiple of 29119 and 29137?

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 29119 and 29137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29119 and 29137, than apply into the LCM equation.

GCF(29119,29137) = 1
LCM(29119,29137) = ( 29119 × 29137) / 1
LCM(29119,29137) = 848440303 / 1
LCM(29119,29137) = 848440303

Least Common Multiple (LCM) of 29119 and 29137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29119 and 29137. First we will calculate the prime factors of 29119 and 29137.

Prime Factorization of 29119

Prime Factorization of 29137

Now multiplying the highest exponent prime factors to calculate the LCM of 29119 and 29137.

LCM(29119,29137) = 37¹ × 787¹ × 29137¹
LCM(29119,29137) = 848440303