What is the Least Common Multiple of 78351 and 78366?

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 78351 and 78366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78351 and 78366, than apply into the LCM equation.

GCF(78351,78366) = 3
LCM(78351,78366) = ( 78351 × 78366) / 3
LCM(78351,78366) = 6140054466 / 3
LCM(78351,78366) = 2046684822

Least Common Multiple (LCM) of 78351 and 78366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78351 and 78366. First we will calculate the prime factors of 78351 and 78366.

Prime Factorization of 78351

Prime Factorization of 78366

Now multiplying the highest exponent prime factors to calculate the LCM of 78351 and 78366.

LCM(78351,78366) = 3¹ × 7² × 13¹ × 41¹ × 2¹ × 37¹ × 353¹
LCM(78351,78366) = 2046684822