What is the Least Common Multiple of 77890 and 77908?

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 77890 and 77908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77890 and 77908, than apply into the LCM equation.

GCF(77890,77908) = 2
LCM(77890,77908) = ( 77890 × 77908) / 2
LCM(77890,77908) = 6068254120 / 2
LCM(77890,77908) = 3034127060

Least Common Multiple (LCM) of 77890 and 77908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77890 and 77908. First we will calculate the prime factors of 77890 and 77908.

Prime Factorization of 77890

Prime Factorization of 77908

Now multiplying the highest exponent prime factors to calculate the LCM of 77890 and 77908.

LCM(77890,77908) = 2² × 5¹ × 7789¹ × 19477¹
LCM(77890,77908) = 3034127060