What is the Least Common Multiple of 79975 and 79981?

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 79975 and 79981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79975 and 79981, than apply into the LCM equation.

GCF(79975,79981) = 1
LCM(79975,79981) = ( 79975 × 79981) / 1
LCM(79975,79981) = 6396480475 / 1
LCM(79975,79981) = 6396480475

Least Common Multiple (LCM) of 79975 and 79981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79975 and 79981. First we will calculate the prime factors of 79975 and 79981.

Prime Factorization of 79975

Prime Factorization of 79981

Now multiplying the highest exponent prime factors to calculate the LCM of 79975 and 79981.

LCM(79975,79981) = 5² × 7¹ × 457¹ × 11² × 661¹
LCM(79975,79981) = 6396480475