What is the Least Common Multiple of 11850 and 11859?

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 11859 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 11859, than apply into the LCM equation.

GCF(11850,11859) = 3
LCM(11850,11859) = ( 11850 × 11859) / 3
LCM(11850,11859) = 140529150 / 3
LCM(11850,11859) = 46843050

Least Common Multiple (LCM) of 11850 and 11859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11850 and 11859. First we will calculate the prime factors of 11850 and 11859.

Prime Factorization of 11850

Prime Factorization of 11859

Now multiplying the highest exponent prime factors to calculate the LCM of 11850 and 11859.

LCM(11850,11859) = 2¹ × 3¹ × 5² × 79¹ × 59¹ × 67¹
LCM(11850,11859) = 46843050