What is the Least Common Multiple of 79249 and 79259?

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 79249 and 79259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79249 and 79259, than apply into the LCM equation.

GCF(79249,79259) = 1
LCM(79249,79259) = ( 79249 × 79259) / 1
LCM(79249,79259) = 6281196491 / 1
LCM(79249,79259) = 6281196491

Least Common Multiple (LCM) of 79249 and 79259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79249 and 79259. First we will calculate the prime factors of 79249 and 79259.

Prime Factorization of 79249

Prime Factorization of 79259

Now multiplying the highest exponent prime factors to calculate the LCM of 79249 and 79259.

LCM(79249,79259) = 19¹ × 43¹ × 97¹ × 79259¹
LCM(79249,79259) = 6281196491