What is the Least Common Multiple of 79573 and 79588?

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 79573 and 79588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79573 and 79588, than apply into the LCM equation.

GCF(79573,79588) = 1
LCM(79573,79588) = ( 79573 × 79588) / 1
LCM(79573,79588) = 6333055924 / 1
LCM(79573,79588) = 6333055924

Least Common Multiple (LCM) of 79573 and 79588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79573 and 79588. First we will calculate the prime factors of 79573 and 79588.

Prime Factorization of 79573

Prime Factorization of 79588

Now multiplying the highest exponent prime factors to calculate the LCM of 79573 and 79588.

LCM(79573,79588) = 13¹ × 6121¹ × 2² × 101¹ × 197¹
LCM(79573,79588) = 6333055924