What is the Least Common Multiple of 72929 and 72943?

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 72929 and 72943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72929 and 72943, than apply into the LCM equation.

GCF(72929,72943) = 1
LCM(72929,72943) = ( 72929 × 72943) / 1
LCM(72929,72943) = 5319660047 / 1
LCM(72929,72943) = 5319660047

Least Common Multiple (LCM) of 72929 and 72943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72929 and 72943. First we will calculate the prime factors of 72929 and 72943.

Prime Factorization of 72929

Prime Factorization of 72943

Now multiplying the highest exponent prime factors to calculate the LCM of 72929 and 72943.

LCM(72929,72943) = 233¹ × 313¹ × 13¹ × 31¹ × 181¹
LCM(72929,72943) = 5319660047