What is the Least Common Multiple of 5609 and 5628?

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 5609 and 5628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5609 and 5628, than apply into the LCM equation.

GCF(5609,5628) = 1
LCM(5609,5628) = ( 5609 × 5628) / 1
LCM(5609,5628) = 31567452 / 1
LCM(5609,5628) = 31567452

Least Common Multiple (LCM) of 5609 and 5628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5609 and 5628. First we will calculate the prime factors of 5609 and 5628.

Prime Factorization of 5609

Prime Factorization of 5628

Now multiplying the highest exponent prime factors to calculate the LCM of 5609 and 5628.

LCM(5609,5628) = 71¹ × 79¹ × 2² × 3¹ × 7¹ × 67¹
LCM(5609,5628) = 31567452