What is the Least Common Multiple of 79268 and 79278?

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 79268 and 79278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79268 and 79278, than apply into the LCM equation.

GCF(79268,79278) = 2
LCM(79268,79278) = ( 79268 × 79278) / 2
LCM(79268,79278) = 6284208504 / 2
LCM(79268,79278) = 3142104252

Least Common Multiple (LCM) of 79268 and 79278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79268 and 79278. First we will calculate the prime factors of 79268 and 79278.

Prime Factorization of 79268

Prime Factorization of 79278

Now multiplying the highest exponent prime factors to calculate the LCM of 79268 and 79278.

LCM(79268,79278) = 2² × 7¹ × 19¹ × 149¹ × 3¹ × 73¹ × 181¹
LCM(79268,79278) = 3142104252