What is the Least Common Multiple of 78258 and 78268?

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 78258 and 78268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78258 and 78268, than apply into the LCM equation.

GCF(78258,78268) = 2
LCM(78258,78268) = ( 78258 × 78268) / 2
LCM(78258,78268) = 6125097144 / 2
LCM(78258,78268) = 3062548572

Least Common Multiple (LCM) of 78258 and 78268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78258 and 78268. First we will calculate the prime factors of 78258 and 78268.

Prime Factorization of 78258

Prime Factorization of 78268

Now multiplying the highest exponent prime factors to calculate the LCM of 78258 and 78268.

LCM(78258,78268) = 2² × 3¹ × 13043¹ × 17¹ × 1151¹
LCM(78258,78268) = 3062548572