What is the Least Common Multiple of 79417 and 79433?

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 79417 and 79433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79417 and 79433, than apply into the LCM equation.

GCF(79417,79433) = 1
LCM(79417,79433) = ( 79417 × 79433) / 1
LCM(79417,79433) = 6308330561 / 1
LCM(79417,79433) = 6308330561

Least Common Multiple (LCM) of 79417 and 79433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79417 and 79433. First we will calculate the prime factors of 79417 and 79433.

Prime Factorization of 79417

Prime Factorization of 79433

Now multiplying the highest exponent prime factors to calculate the LCM of 79417 and 79433.

LCM(79417,79433) = 13¹ × 41¹ × 149¹ × 79433¹
LCM(79417,79433) = 6308330561