What is the Least Common Multiple of 5624 and 5643?

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 5624 and 5643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5624 and 5643, than apply into the LCM equation.

GCF(5624,5643) = 19
LCM(5624,5643) = ( 5624 × 5643) / 19
LCM(5624,5643) = 31736232 / 19
LCM(5624,5643) = 1670328

Least Common Multiple (LCM) of 5624 and 5643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5624 and 5643. First we will calculate the prime factors of 5624 and 5643.

Prime Factorization of 5624

Prime Factorization of 5643

Now multiplying the highest exponent prime factors to calculate the LCM of 5624 and 5643.

LCM(5624,5643) = 2³ × 19¹ × 37¹ × 3³ × 11¹
LCM(5624,5643) = 1670328