What is the Least Common Multiple of 79849 and 79865?

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 79849 and 79865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79849 and 79865, than apply into the LCM equation.

GCF(79849,79865) = 1
LCM(79849,79865) = ( 79849 × 79865) / 1
LCM(79849,79865) = 6377140385 / 1
LCM(79849,79865) = 6377140385

Least Common Multiple (LCM) of 79849 and 79865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79849 and 79865. First we will calculate the prime factors of 79849 and 79865.

Prime Factorization of 79849

Prime Factorization of 79865

Now multiplying the highest exponent prime factors to calculate the LCM of 79849 and 79865.

LCM(79849,79865) = 7¹ × 11¹ × 17¹ × 61¹ × 5¹ × 15973¹
LCM(79849,79865) = 6377140385