What is the Least Common Multiple of 5628 and 5637?

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 5628 and 5637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5628 and 5637, than apply into the LCM equation.

GCF(5628,5637) = 3
LCM(5628,5637) = ( 5628 × 5637) / 3
LCM(5628,5637) = 31725036 / 3
LCM(5628,5637) = 10575012

Least Common Multiple (LCM) of 5628 and 5637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5628 and 5637. First we will calculate the prime factors of 5628 and 5637.

Prime Factorization of 5628

Prime Factorization of 5637

Now multiplying the highest exponent prime factors to calculate the LCM of 5628 and 5637.

LCM(5628,5637) = 2² × 3¹ × 7¹ × 67¹ × 1879¹
LCM(5628,5637) = 10575012