What is the Least Common Multiple of 53998 and 54016?

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 53998 and 54016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53998 and 54016, than apply into the LCM equation.

GCF(53998,54016) = 2
LCM(53998,54016) = ( 53998 × 54016) / 2
LCM(53998,54016) = 2916755968 / 2
LCM(53998,54016) = 1458377984

Least Common Multiple (LCM) of 53998 and 54016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53998 and 54016. First we will calculate the prime factors of 53998 and 54016.

Prime Factorization of 53998

Prime Factorization of 54016

Now multiplying the highest exponent prime factors to calculate the LCM of 53998 and 54016.

LCM(53998,54016) = 2⁸ × 7² × 19¹ × 29¹ × 211¹
LCM(53998,54016) = 1458377984