What is the Least Common Multiple of 78234 and 78238?

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 78238 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 78238, than apply into the LCM equation.

GCF(78234,78238) = 2
LCM(78234,78238) = ( 78234 × 78238) / 2
LCM(78234,78238) = 6120871692 / 2
LCM(78234,78238) = 3060435846

Least Common Multiple (LCM) of 78234 and 78238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78234 and 78238. First we will calculate the prime factors of 78234 and 78238.

Prime Factorization of 78234

Prime Factorization of 78238

Now multiplying the highest exponent prime factors to calculate the LCM of 78234 and 78238.

LCM(78234,78238) = 2¹ × 3¹ × 13¹ × 17¹ × 59¹ × 39119¹
LCM(78234,78238) = 3060435846