What is the Least Common Multiple of 79879 and 79895?

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 79879 and 79895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79879 and 79895, than apply into the LCM equation.

GCF(79879,79895) = 1
LCM(79879,79895) = ( 79879 × 79895) / 1
LCM(79879,79895) = 6381932705 / 1
LCM(79879,79895) = 6381932705

Least Common Multiple (LCM) of 79879 and 79895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79879 and 79895. First we will calculate the prime factors of 79879 and 79895.

Prime Factorization of 79879

Prime Factorization of 79895

Now multiplying the highest exponent prime factors to calculate the LCM of 79879 and 79895.

LCM(79879,79895) = 23² × 151¹ × 5¹ × 19¹ × 29²
LCM(79879,79895) = 6381932705