What is the Least Common Multiple of 95965 and 95980?

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 95980 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 95980, than apply into the LCM equation.

GCF(95965,95980) = 5
LCM(95965,95980) = ( 95965 × 95980) / 5
LCM(95965,95980) = 9210720700 / 5
LCM(95965,95980) = 1842144140

Least Common Multiple (LCM) of 95965 and 95980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95965 and 95980. First we will calculate the prime factors of 95965 and 95980.

Prime Factorization of 95965

Prime Factorization of 95980

Now multiplying the highest exponent prime factors to calculate the LCM of 95965 and 95980.

LCM(95965,95980) = 5¹ × 17¹ × 1129¹ × 2² × 4799¹
LCM(95965,95980) = 1842144140