What is the Least Common Multiple of 79222 and 79238?

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 79222 and 79238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79222 and 79238, than apply into the LCM equation.

GCF(79222,79238) = 2
LCM(79222,79238) = ( 79222 × 79238) / 2
LCM(79222,79238) = 6277392836 / 2
LCM(79222,79238) = 3138696418

Least Common Multiple (LCM) of 79222 and 79238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79222 and 79238. First we will calculate the prime factors of 79222 and 79238.

Prime Factorization of 79222

Prime Factorization of 79238

Now multiplying the highest exponent prime factors to calculate the LCM of 79222 and 79238.

LCM(79222,79238) = 2¹ × 11¹ × 13¹ × 277¹ × 39619¹
LCM(79222,79238) = 3138696418