What is the Least Common Multiple of 53884 and 53900?

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 53884 and 53900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53884 and 53900, than apply into the LCM equation.

GCF(53884,53900) = 4
LCM(53884,53900) = ( 53884 × 53900) / 4
LCM(53884,53900) = 2904347600 / 4
LCM(53884,53900) = 726086900

Least Common Multiple (LCM) of 53884 and 53900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53884 and 53900. First we will calculate the prime factors of 53884 and 53900.

Prime Factorization of 53884

Prime Factorization of 53900

Now multiplying the highest exponent prime factors to calculate the LCM of 53884 and 53900.

LCM(53884,53900) = 2² × 19¹ × 709¹ × 5² × 7² × 11¹
LCM(53884,53900) = 726086900