What is the Least Common Multiple of 53994 and 54003?

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 53994 and 54003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53994 and 54003, than apply into the LCM equation.

GCF(53994,54003) = 3
LCM(53994,54003) = ( 53994 × 54003) / 3
LCM(53994,54003) = 2915837982 / 3
LCM(53994,54003) = 971945994

Least Common Multiple (LCM) of 53994 and 54003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53994 and 54003. First we will calculate the prime factors of 53994 and 54003.

Prime Factorization of 53994

Prime Factorization of 54003

Now multiplying the highest exponent prime factors to calculate the LCM of 53994 and 54003.

LCM(53994,54003) = 2¹ × 3¹ × 8999¹ × 47¹ × 383¹
LCM(53994,54003) = 971945994