What is the Least Common Multiple of 95889 and 95901?

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 95889 and 95901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95889 and 95901, than apply into the LCM equation.

GCF(95889,95901) = 3
LCM(95889,95901) = ( 95889 × 95901) / 3
LCM(95889,95901) = 9195850989 / 3
LCM(95889,95901) = 3065283663

Least Common Multiple (LCM) of 95889 and 95901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95889 and 95901. First we will calculate the prime factors of 95889 and 95901.

Prime Factorization of 95889

Prime Factorization of 95901

Now multiplying the highest exponent prime factors to calculate the LCM of 95889 and 95901.

LCM(95889,95901) = 3¹ × 31963¹ × 13¹ × 2459¹
LCM(95889,95901) = 3065283663