What is the Least Common Multiple of 5629 and 5648?

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 5629 and 5648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5629 and 5648, than apply into the LCM equation.

GCF(5629,5648) = 1
LCM(5629,5648) = ( 5629 × 5648) / 1
LCM(5629,5648) = 31792592 / 1
LCM(5629,5648) = 31792592

Least Common Multiple (LCM) of 5629 and 5648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5629 and 5648. First we will calculate the prime factors of 5629 and 5648.

Prime Factorization of 5629

Prime Factorization of 5648

Now multiplying the highest exponent prime factors to calculate the LCM of 5629 and 5648.

LCM(5629,5648) = 13¹ × 433¹ × 2⁴ × 353¹
LCM(5629,5648) = 31792592