What is the Least Common Multiple of 78372 and 78386?

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 78372 and 78386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78372 and 78386, than apply into the LCM equation.

GCF(78372,78386) = 14
LCM(78372,78386) = ( 78372 × 78386) / 14
LCM(78372,78386) = 6143267592 / 14
LCM(78372,78386) = 438804828

Least Common Multiple (LCM) of 78372 and 78386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78372 and 78386. First we will calculate the prime factors of 78372 and 78386.

Prime Factorization of 78372

Prime Factorization of 78386

Now multiplying the highest exponent prime factors to calculate the LCM of 78372 and 78386.

LCM(78372,78386) = 2² × 3² × 7¹ × 311¹ × 11¹ × 509¹
LCM(78372,78386) = 438804828