What is the Least Common Multiple of 53904 and 53918?

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 53918 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 53918, than apply into the LCM equation.

GCF(53904,53918) = 2
LCM(53904,53918) = ( 53904 × 53918) / 2
LCM(53904,53918) = 2906395872 / 2
LCM(53904,53918) = 1453197936

Least Common Multiple (LCM) of 53904 and 53918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53904 and 53918. First we will calculate the prime factors of 53904 and 53918.

Prime Factorization of 53904

Prime Factorization of 53918

Now multiplying the highest exponent prime factors to calculate the LCM of 53904 and 53918.

LCM(53904,53918) = 2⁴ × 3¹ × 1123¹ × 26959¹
LCM(53904,53918) = 1453197936