What is the Least Common Multiple of 79459 and 79471?

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 79459 and 79471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79459 and 79471, than apply into the LCM equation.

GCF(79459,79471) = 1
LCM(79459,79471) = ( 79459 × 79471) / 1
LCM(79459,79471) = 6314686189 / 1
LCM(79459,79471) = 6314686189

Least Common Multiple (LCM) of 79459 and 79471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79459 and 79471. First we will calculate the prime factors of 79459 and 79471.

Prime Factorization of 79459

Prime Factorization of 79471

Now multiplying the highest exponent prime factors to calculate the LCM of 79459 and 79471.

LCM(79459,79471) = 181¹ × 439¹ × 7¹ × 11353¹
LCM(79459,79471) = 6314686189