What is the Least Common Multiple of 79401 and 79413?

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 79401 and 79413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79401 and 79413, than apply into the LCM equation.

GCF(79401,79413) = 3
LCM(79401,79413) = ( 79401 × 79413) / 3
LCM(79401,79413) = 6305471613 / 3
LCM(79401,79413) = 2101823871

Least Common Multiple (LCM) of 79401 and 79413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79401 and 79413. First we will calculate the prime factors of 79401 and 79413.

Prime Factorization of 79401

Prime Factorization of 79413

Now multiplying the highest exponent prime factors to calculate the LCM of 79401 and 79413.

LCM(79401,79413) = 3¹ × 7¹ × 19¹ × 199¹ × 103¹ × 257¹
LCM(79401,79413) = 2101823871