What is the Least Common Multiple of 11712 and 11730?

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 11712 and 11730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11712 and 11730, than apply into the LCM equation.

GCF(11712,11730) = 6
LCM(11712,11730) = ( 11712 × 11730) / 6
LCM(11712,11730) = 137381760 / 6
LCM(11712,11730) = 22896960

Least Common Multiple (LCM) of 11712 and 11730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11712 and 11730. First we will calculate the prime factors of 11712 and 11730.

Prime Factorization of 11712

Prime Factorization of 11730

Now multiplying the highest exponent prime factors to calculate the LCM of 11712 and 11730.

LCM(11712,11730) = 2⁶ × 3¹ × 61¹ × 5¹ × 17¹ × 23¹
LCM(11712,11730) = 22896960