What is the Least Common Multiple of 77898 and 77903?

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 77898 and 77903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77898 and 77903, than apply into the LCM equation.

GCF(77898,77903) = 1
LCM(77898,77903) = ( 77898 × 77903) / 1
LCM(77898,77903) = 6068487894 / 1
LCM(77898,77903) = 6068487894

Least Common Multiple (LCM) of 77898 and 77903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77898 and 77903. First we will calculate the prime factors of 77898 and 77903.

Prime Factorization of 77898

Prime Factorization of 77903

Now multiplying the highest exponent prime factors to calculate the LCM of 77898 and 77903.

LCM(77898,77903) = 2¹ × 3¹ × 12983¹ × 7¹ × 31¹ × 359¹
LCM(77898,77903) = 6068487894