What is the Least Common Multiple of 77894 and 77904?

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 77894 and 77904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77894 and 77904, than apply into the LCM equation.

GCF(77894,77904) = 2
LCM(77894,77904) = ( 77894 × 77904) / 2
LCM(77894,77904) = 6068254176 / 2
LCM(77894,77904) = 3034127088

Least Common Multiple (LCM) of 77894 and 77904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77894 and 77904. First we will calculate the prime factors of 77894 and 77904.

Prime Factorization of 77894

Prime Factorization of 77904

Now multiplying the highest exponent prime factors to calculate the LCM of 77894 and 77904.

LCM(77894,77904) = 2⁴ × 17¹ × 29¹ × 79¹ × 3² × 541¹
LCM(77894,77904) = 3034127088