What is the Least Common Multiple of 11628 and 11632?

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 11628 and 11632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11628 and 11632, than apply into the LCM equation.

GCF(11628,11632) = 4
LCM(11628,11632) = ( 11628 × 11632) / 4
LCM(11628,11632) = 135256896 / 4
LCM(11628,11632) = 33814224

Least Common Multiple (LCM) of 11628 and 11632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11628 and 11632. First we will calculate the prime factors of 11628 and 11632.

Prime Factorization of 11628

Prime Factorization of 11632

Now multiplying the highest exponent prime factors to calculate the LCM of 11628 and 11632.

LCM(11628,11632) = 2⁴ × 3² × 17¹ × 19¹ × 727¹
LCM(11628,11632) = 33814224