What is the Least Common Multiple of 95965 and 95981?

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 95965 and 95981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95965 and 95981, than apply into the LCM equation.

GCF(95965,95981) = 1
LCM(95965,95981) = ( 95965 × 95981) / 1
LCM(95965,95981) = 9210816665 / 1
LCM(95965,95981) = 9210816665

Least Common Multiple (LCM) of 95965 and 95981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95965 and 95981. First we will calculate the prime factors of 95965 and 95981.

Prime Factorization of 95965

Prime Factorization of 95981

Now multiplying the highest exponent prime factors to calculate the LCM of 95965 and 95981.

LCM(95965,95981) = 5¹ × 17¹ × 1129¹ × 41¹ × 2341¹
LCM(95965,95981) = 9210816665