What is the Least Common Multiple of 11613 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 11613 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 11613 and 11632, than apply into the LCM equation.

GCF(11613,11632) = 1
LCM(11613,11632) = ( 11613 × 11632) / 1
LCM(11613,11632) = 135082416 / 1
LCM(11613,11632) = 135082416

Least Common Multiple (LCM) of 11613 and 11632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11613 and 11632. First we will calculate the prime factors of 11613 and 11632.

Prime Factorization of 11613

Prime Factorization of 11632

Now multiplying the highest exponent prime factors to calculate the LCM of 11613 and 11632.

LCM(11613,11632) = 3¹ × 7² × 79¹ × 2⁴ × 727¹
LCM(11613,11632) = 135082416