What is the Least Common Multiple of 79739 and 79745?

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 79739 and 79745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79739 and 79745, than apply into the LCM equation.

GCF(79739,79745) = 1
LCM(79739,79745) = ( 79739 × 79745) / 1
LCM(79739,79745) = 6358786555 / 1
LCM(79739,79745) = 6358786555

Least Common Multiple (LCM) of 79739 and 79745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79739 and 79745. First we will calculate the prime factors of 79739 and 79745.

Prime Factorization of 79739

Prime Factorization of 79745

Now multiplying the highest exponent prime factors to calculate the LCM of 79739 and 79745.

LCM(79739,79745) = 11² × 659¹ × 5¹ × 41¹ × 389¹
LCM(79739,79745) = 6358786555