What is the Least Common Multiple of 53376 and 53383?

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 53376 and 53383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53376 and 53383, than apply into the LCM equation.

GCF(53376,53383) = 1
LCM(53376,53383) = ( 53376 × 53383) / 1
LCM(53376,53383) = 2849371008 / 1
LCM(53376,53383) = 2849371008

Least Common Multiple (LCM) of 53376 and 53383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53376 and 53383. First we will calculate the prime factors of 53376 and 53383.

Prime Factorization of 53376

Prime Factorization of 53383

Now multiplying the highest exponent prime factors to calculate the LCM of 53376 and 53383.

LCM(53376,53383) = 2⁷ × 3¹ × 139¹ × 11¹ × 23¹ × 211¹
LCM(53376,53383) = 2849371008