What is the Least Common Multiple of 79838 and 79858?

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 79838 and 79858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79838 and 79858, than apply into the LCM equation.

GCF(79838,79858) = 2
LCM(79838,79858) = ( 79838 × 79858) / 2
LCM(79838,79858) = 6375703004 / 2
LCM(79838,79858) = 3187851502

Least Common Multiple (LCM) of 79838 and 79858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79838 and 79858. First we will calculate the prime factors of 79838 and 79858.

Prime Factorization of 79838

Prime Factorization of 79858

Now multiplying the highest exponent prime factors to calculate the LCM of 79838 and 79858.

LCM(79838,79858) = 2¹ × 11¹ × 19¹ × 191¹ × 39929¹
LCM(79838,79858) = 3187851502