What is the Least Common Multiple of 95980 and 95987?

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 95987 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 95987, than apply into the LCM equation.

GCF(95980,95987) = 1
LCM(95980,95987) = ( 95980 × 95987) / 1
LCM(95980,95987) = 9212832260 / 1
LCM(95980,95987) = 9212832260

Least Common Multiple (LCM) of 95980 and 95987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95980 and 95987. First we will calculate the prime factors of 95980 and 95987.

Prime Factorization of 95980

Prime Factorization of 95987

Now multiplying the highest exponent prime factors to calculate the LCM of 95980 and 95987.

LCM(95980,95987) = 2² × 5¹ × 4799¹ × 95987¹
LCM(95980,95987) = 9212832260