What is the Least Common Multiple of 11700 and 11712?

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 11700 and 11712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11700 and 11712, than apply into the LCM equation.

GCF(11700,11712) = 12
LCM(11700,11712) = ( 11700 × 11712) / 12
LCM(11700,11712) = 137030400 / 12
LCM(11700,11712) = 11419200

Least Common Multiple (LCM) of 11700 and 11712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11700 and 11712. First we will calculate the prime factors of 11700 and 11712.

Prime Factorization of 11700

Prime Factorization of 11712

Now multiplying the highest exponent prime factors to calculate the LCM of 11700 and 11712.

LCM(11700,11712) = 2⁶ × 3² × 5² × 13¹ × 61¹
LCM(11700,11712) = 11419200