What is the Least Common Multiple of 11712 and 11725?

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 11725 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 11725, than apply into the LCM equation.

GCF(11712,11725) = 1
LCM(11712,11725) = ( 11712 × 11725) / 1
LCM(11712,11725) = 137323200 / 1
LCM(11712,11725) = 137323200

Least Common Multiple (LCM) of 11712 and 11725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11712 and 11725. First we will calculate the prime factors of 11712 and 11725.

Prime Factorization of 11712

Prime Factorization of 11725

Now multiplying the highest exponent prime factors to calculate the LCM of 11712 and 11725.

LCM(11712,11725) = 2⁶ × 3¹ × 61¹ × 5² × 7¹ × 67¹
LCM(11712,11725) = 137323200