What is the Least Common Multiple of 78998 and 79018?

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 78998 and 79018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78998 and 79018, than apply into the LCM equation.

GCF(78998,79018) = 2
LCM(78998,79018) = ( 78998 × 79018) / 2
LCM(78998,79018) = 6242263964 / 2
LCM(78998,79018) = 3121131982

Least Common Multiple (LCM) of 78998 and 79018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78998 and 79018. First we will calculate the prime factors of 78998 and 79018.

Prime Factorization of 78998

Prime Factorization of 79018

Now multiplying the highest exponent prime factors to calculate the LCM of 78998 and 79018.

LCM(78998,79018) = 2¹ × 39499¹ × 39509¹
LCM(78998,79018) = 3121131982