What is the Least Common Multiple of 53904 and 53922?

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 53904 and 53922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53904 and 53922, than apply into the LCM equation.

GCF(53904,53922) = 6
LCM(53904,53922) = ( 53904 × 53922) / 6
LCM(53904,53922) = 2906611488 / 6
LCM(53904,53922) = 484435248

Least Common Multiple (LCM) of 53904 and 53922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53904 and 53922. First we will calculate the prime factors of 53904 and 53922.

Prime Factorization of 53904

Prime Factorization of 53922

Now multiplying the highest exponent prime factors to calculate the LCM of 53904 and 53922.

LCM(53904,53922) = 2⁴ × 3¹ × 1123¹ × 11¹ × 19¹ × 43¹
LCM(53904,53922) = 484435248