What is the Least Common Multiple of 11883 and 11900?

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 11883 and 11900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11883 and 11900, than apply into the LCM equation.

GCF(11883,11900) = 17
LCM(11883,11900) = ( 11883 × 11900) / 17
LCM(11883,11900) = 141407700 / 17
LCM(11883,11900) = 8318100

Least Common Multiple (LCM) of 11883 and 11900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11883 and 11900. First we will calculate the prime factors of 11883 and 11900.

Prime Factorization of 11883

Prime Factorization of 11900

Now multiplying the highest exponent prime factors to calculate the LCM of 11883 and 11900.

LCM(11883,11900) = 3¹ × 17¹ × 233¹ × 2² × 5² × 7¹
LCM(11883,11900) = 8318100