What is the Least Common Multiple of 96376 and 96383?

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 96376 and 96383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96376 and 96383, than apply into the LCM equation.

GCF(96376,96383) = 7
LCM(96376,96383) = ( 96376 × 96383) / 7
LCM(96376,96383) = 9289008008 / 7
LCM(96376,96383) = 1327001144

Least Common Multiple (LCM) of 96376 and 96383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96376 and 96383. First we will calculate the prime factors of 96376 and 96383.

Prime Factorization of 96376

Prime Factorization of 96383

Now multiplying the highest exponent prime factors to calculate the LCM of 96376 and 96383.

LCM(96376,96383) = 2³ × 7³ × 1721¹ × 281¹
LCM(96376,96383) = 1327001144