What is the Least Common Multiple of 11850 and 11870?

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 11850 and 11870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11850 and 11870, than apply into the LCM equation.

GCF(11850,11870) = 10
LCM(11850,11870) = ( 11850 × 11870) / 10
LCM(11850,11870) = 140659500 / 10
LCM(11850,11870) = 14065950

Least Common Multiple (LCM) of 11850 and 11870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11850 and 11870. First we will calculate the prime factors of 11850 and 11870.

Prime Factorization of 11850

Prime Factorization of 11870

Now multiplying the highest exponent prime factors to calculate the LCM of 11850 and 11870.

LCM(11850,11870) = 2¹ × 3¹ × 5² × 79¹ × 1187¹
LCM(11850,11870) = 14065950