What is the Least Common Multiple of 66971 and 66991?

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 66971 and 66991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66971 and 66991, than apply into the LCM equation.

GCF(66971,66991) = 1
LCM(66971,66991) = ( 66971 × 66991) / 1
LCM(66971,66991) = 4486454261 / 1
LCM(66971,66991) = 4486454261

Least Common Multiple (LCM) of 66971 and 66991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66971 and 66991. First we will calculate the prime factors of 66971 and 66991.

Prime Factorization of 66971

Prime Factorization of 66991

Now multiplying the highest exponent prime factors to calculate the LCM of 66971 and 66991.

LCM(66971,66991) = 193¹ × 347¹ × 31¹ × 2161¹
LCM(66971,66991) = 4486454261