What is the Least Common Multiple of 95982 and 96002?

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 95982 and 96002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95982 and 96002, than apply into the LCM equation.

GCF(95982,96002) = 2
LCM(95982,96002) = ( 95982 × 96002) / 2
LCM(95982,96002) = 9214463964 / 2
LCM(95982,96002) = 4607231982

Least Common Multiple (LCM) of 95982 and 96002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95982 and 96002. First we will calculate the prime factors of 95982 and 96002.

Prime Factorization of 95982

Prime Factorization of 96002

Now multiplying the highest exponent prime factors to calculate the LCM of 95982 and 96002.

LCM(95982,96002) = 2¹ × 3¹ × 17¹ × 941¹ × 23¹ × 2087¹
LCM(95982,96002) = 4607231982