What is the Least Common Multiple of 95980 and 95986?

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 95980 and 95986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95980 and 95986, than apply into the LCM equation.

GCF(95980,95986) = 2
LCM(95980,95986) = ( 95980 × 95986) / 2
LCM(95980,95986) = 9212736280 / 2
LCM(95980,95986) = 4606368140

Least Common Multiple (LCM) of 95980 and 95986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95980 and 95986. First we will calculate the prime factors of 95980 and 95986.

Prime Factorization of 95980

Prime Factorization of 95986

Now multiplying the highest exponent prime factors to calculate the LCM of 95980 and 95986.

LCM(95980,95986) = 2² × 5¹ × 4799¹ × 11¹ × 4363¹
LCM(95980,95986) = 4606368140