What is the Least Common Multiple of 54889 and 54901?

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 54889 and 54901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54889 and 54901, than apply into the LCM equation.

GCF(54889,54901) = 1
LCM(54889,54901) = ( 54889 × 54901) / 1
LCM(54889,54901) = 3013460989 / 1
LCM(54889,54901) = 3013460989

Least Common Multiple (LCM) of 54889 and 54901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54889 and 54901. First we will calculate the prime factors of 54889 and 54901.

Prime Factorization of 54889

Prime Factorization of 54901

Now multiplying the highest exponent prime factors to calculate the LCM of 54889 and 54901.

LCM(54889,54901) = 131¹ × 419¹ × 7¹ × 11¹ × 23¹ × 31¹
LCM(54889,54901) = 3013460989