What is the Least Common Multiple of 11900 and 11907?

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 11900 and 11907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11900 and 11907, than apply into the LCM equation.

GCF(11900,11907) = 7
LCM(11900,11907) = ( 11900 × 11907) / 7
LCM(11900,11907) = 141693300 / 7
LCM(11900,11907) = 20241900

Least Common Multiple (LCM) of 11900 and 11907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11900 and 11907. First we will calculate the prime factors of 11900 and 11907.

Prime Factorization of 11900

Prime Factorization of 11907

Now multiplying the highest exponent prime factors to calculate the LCM of 11900 and 11907.

LCM(11900,11907) = 2² × 5² × 7² × 17¹ × 3⁵
LCM(11900,11907) = 20241900