What is the Least Common Multiple of 66836 and 66850?

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 66836 and 66850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66836 and 66850, than apply into the LCM equation.

GCF(66836,66850) = 14
LCM(66836,66850) = ( 66836 × 66850) / 14
LCM(66836,66850) = 4467986600 / 14
LCM(66836,66850) = 319141900

Least Common Multiple (LCM) of 66836 and 66850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66836 and 66850. First we will calculate the prime factors of 66836 and 66850.

Prime Factorization of 66836

Prime Factorization of 66850

Now multiplying the highest exponent prime factors to calculate the LCM of 66836 and 66850.

LCM(66836,66850) = 2² × 7² × 11¹ × 31¹ × 5² × 191¹
LCM(66836,66850) = 319141900