What is the Least Common Multiple of 53984 and 53993?

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 53984 and 53993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53984 and 53993, than apply into the LCM equation.

GCF(53984,53993) = 1
LCM(53984,53993) = ( 53984 × 53993) / 1
LCM(53984,53993) = 2914758112 / 1
LCM(53984,53993) = 2914758112

Least Common Multiple (LCM) of 53984 and 53993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53984 and 53993. First we will calculate the prime factors of 53984 and 53993.

Prime Factorization of 53984

Prime Factorization of 53993

Now multiplying the highest exponent prime factors to calculate the LCM of 53984 and 53993.

LCM(53984,53993) = 2⁵ × 7¹ × 241¹ × 53993¹
LCM(53984,53993) = 2914758112