What is the Least Common Multiple of 29138 and 29143?

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 29138 and 29143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29138 and 29143, than apply into the LCM equation.

GCF(29138,29143) = 1
LCM(29138,29143) = ( 29138 × 29143) / 1
LCM(29138,29143) = 849168734 / 1
LCM(29138,29143) = 849168734

Least Common Multiple (LCM) of 29138 and 29143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29138 and 29143. First we will calculate the prime factors of 29138 and 29143.

Prime Factorization of 29138

Prime Factorization of 29143

Now multiplying the highest exponent prime factors to calculate the LCM of 29138 and 29143.

LCM(29138,29143) = 2¹ × 17¹ × 857¹ × 151¹ × 193¹
LCM(29138,29143) = 849168734