What is the Least Common Multiple of 79898 and 79912?

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 79898 and 79912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79898 and 79912, than apply into the LCM equation.

GCF(79898,79912) = 14
LCM(79898,79912) = ( 79898 × 79912) / 14
LCM(79898,79912) = 6384808976 / 14
LCM(79898,79912) = 456057784

Least Common Multiple (LCM) of 79898 and 79912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79898 and 79912. First we will calculate the prime factors of 79898 and 79912.

Prime Factorization of 79898

Prime Factorization of 79912

Now multiplying the highest exponent prime factors to calculate the LCM of 79898 and 79912.

LCM(79898,79912) = 2³ × 7¹ × 13¹ × 439¹ × 1427¹
LCM(79898,79912) = 456057784