What is the Least Common Multiple of 78223 and 78242?

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 78223 and 78242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78223 and 78242, than apply into the LCM equation.

GCF(78223,78242) = 19
LCM(78223,78242) = ( 78223 × 78242) / 19
LCM(78223,78242) = 6120323966 / 19
LCM(78223,78242) = 322122314

Least Common Multiple (LCM) of 78223 and 78242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78223 and 78242. First we will calculate the prime factors of 78223 and 78242.

Prime Factorization of 78223

Prime Factorization of 78242

Now multiplying the highest exponent prime factors to calculate the LCM of 78223 and 78242.

LCM(78223,78242) = 19¹ × 23¹ × 179¹ × 2¹ × 29¹ × 71¹
LCM(78223,78242) = 322122314