What is the Least Common Multiple of 78302 and 78310?

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 78302 and 78310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78302 and 78310, than apply into the LCM equation.

GCF(78302,78310) = 2
LCM(78302,78310) = ( 78302 × 78310) / 2
LCM(78302,78310) = 6131829620 / 2
LCM(78302,78310) = 3065914810

Least Common Multiple (LCM) of 78302 and 78310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78302 and 78310. First we will calculate the prime factors of 78302 and 78310.

Prime Factorization of 78302

Prime Factorization of 78310

Now multiplying the highest exponent prime factors to calculate the LCM of 78302 and 78310.

LCM(78302,78310) = 2¹ × 7² × 17¹ × 47¹ × 5¹ × 41¹ × 191¹
LCM(78302,78310) = 3065914810