What is the Least Common Multiple of 77884 and 77894?

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 77884 and 77894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77884 and 77894, than apply into the LCM equation.

GCF(77884,77894) = 2
LCM(77884,77894) = ( 77884 × 77894) / 2
LCM(77884,77894) = 6066696296 / 2
LCM(77884,77894) = 3033348148

Least Common Multiple (LCM) of 77884 and 77894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77884 and 77894. First we will calculate the prime factors of 77884 and 77894.

Prime Factorization of 77884

Prime Factorization of 77894

Now multiplying the highest exponent prime factors to calculate the LCM of 77884 and 77894.

LCM(77884,77894) = 2² × 19471¹ × 17¹ × 29¹ × 79¹
LCM(77884,77894) = 3033348148