What is the Least Common Multiple of 78234 and 78248?

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 78234 and 78248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78234 and 78248, than apply into the LCM equation.

GCF(78234,78248) = 2
LCM(78234,78248) = ( 78234 × 78248) / 2
LCM(78234,78248) = 6121654032 / 2
LCM(78234,78248) = 3060827016

Least Common Multiple (LCM) of 78234 and 78248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78234 and 78248. First we will calculate the prime factors of 78234 and 78248.

Prime Factorization of 78234

Prime Factorization of 78248

Now multiplying the highest exponent prime factors to calculate the LCM of 78234 and 78248.

LCM(78234,78248) = 2³ × 3¹ × 13¹ × 17¹ × 59¹ × 9781¹
LCM(78234,78248) = 3060827016