What is the Least Common Multiple of 79585 and 79597?

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 79585 and 79597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79585 and 79597, than apply into the LCM equation.

GCF(79585,79597) = 1
LCM(79585,79597) = ( 79585 × 79597) / 1
LCM(79585,79597) = 6334727245 / 1
LCM(79585,79597) = 6334727245

Least Common Multiple (LCM) of 79585 and 79597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79585 and 79597. First we will calculate the prime factors of 79585 and 79597.

Prime Factorization of 79585

Prime Factorization of 79597

Now multiplying the highest exponent prime factors to calculate the LCM of 79585 and 79597.

LCM(79585,79597) = 5¹ × 11¹ × 1447¹ × 7¹ × 83¹ × 137¹
LCM(79585,79597) = 6334727245