What is the Least Common Multiple of 69376 and 69383?

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 69376 and 69383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69376 and 69383, than apply into the LCM equation.

GCF(69376,69383) = 1
LCM(69376,69383) = ( 69376 × 69383) / 1
LCM(69376,69383) = 4813515008 / 1
LCM(69376,69383) = 4813515008

Least Common Multiple (LCM) of 69376 and 69383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69376 and 69383. First we will calculate the prime factors of 69376 and 69383.

Prime Factorization of 69376

Prime Factorization of 69383

Now multiplying the highest exponent prime factors to calculate the LCM of 69376 and 69383.

LCM(69376,69383) = 2⁸ × 271¹ × 69383¹
LCM(69376,69383) = 4813515008