What is the Least Common Multiple of 11872 and 11892?

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 11872 and 11892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11872 and 11892, than apply into the LCM equation.

GCF(11872,11892) = 4
LCM(11872,11892) = ( 11872 × 11892) / 4
LCM(11872,11892) = 141181824 / 4
LCM(11872,11892) = 35295456

Least Common Multiple (LCM) of 11872 and 11892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11872 and 11892. First we will calculate the prime factors of 11872 and 11892.

Prime Factorization of 11872

Prime Factorization of 11892

Now multiplying the highest exponent prime factors to calculate the LCM of 11872 and 11892.

LCM(11872,11892) = 2⁵ × 7¹ × 53¹ × 3¹ × 991¹
LCM(11872,11892) = 35295456