What is the Least Common Multiple of 79293 and 79313?

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 79293 and 79313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79293 and 79313, than apply into the LCM equation.

GCF(79293,79313) = 1
LCM(79293,79313) = ( 79293 × 79313) / 1
LCM(79293,79313) = 6288965709 / 1
LCM(79293,79313) = 6288965709

Least Common Multiple (LCM) of 79293 and 79313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79293 and 79313. First we will calculate the prime factors of 79293 and 79313.

Prime Factorization of 79293

Prime Factorization of 79313

Now multiplying the highest exponent prime factors to calculate the LCM of 79293 and 79313.

LCM(79293,79313) = 3¹ × 26431¹ × 13¹ × 6101¹
LCM(79293,79313) = 6288965709