What is the Least Common Multiple of 96271 and 96277?

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 96271 and 96277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96271 and 96277, than apply into the LCM equation.

GCF(96271,96277) = 1
LCM(96271,96277) = ( 96271 × 96277) / 1
LCM(96271,96277) = 9268683067 / 1
LCM(96271,96277) = 9268683067

Least Common Multiple (LCM) of 96271 and 96277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96271 and 96277. First we will calculate the prime factors of 96271 and 96277.

Prime Factorization of 96271

Prime Factorization of 96277

Now multiplying the highest exponent prime factors to calculate the LCM of 96271 and 96277.

LCM(96271,96277) = 7¹ × 17¹ × 809¹ × 43¹ × 2239¹
LCM(96271,96277) = 9268683067