What is the Least Common Multiple of 78274 and 78282?

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 78274 and 78282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78274 and 78282, than apply into the LCM equation.

GCF(78274,78282) = 2
LCM(78274,78282) = ( 78274 × 78282) / 2
LCM(78274,78282) = 6127445268 / 2
LCM(78274,78282) = 3063722634

Least Common Multiple (LCM) of 78274 and 78282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78274 and 78282. First we will calculate the prime factors of 78274 and 78282.

Prime Factorization of 78274

Prime Factorization of 78282

Now multiplying the highest exponent prime factors to calculate the LCM of 78274 and 78282.

LCM(78274,78282) = 2¹ × 7¹ × 5591¹ × 3² × 4349¹
LCM(78274,78282) = 3063722634