What is the Least Common Multiple of 66317 and 66337?

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 66317 and 66337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66317 and 66337, than apply into the LCM equation.

GCF(66317,66337) = 1
LCM(66317,66337) = ( 66317 × 66337) / 1
LCM(66317,66337) = 4399270829 / 1
LCM(66317,66337) = 4399270829

Least Common Multiple (LCM) of 66317 and 66337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66317 and 66337. First we will calculate the prime factors of 66317 and 66337.

Prime Factorization of 66317

Prime Factorization of 66337

Now multiplying the highest exponent prime factors to calculate the LCM of 66317 and 66337.

LCM(66317,66337) = 17¹ × 47¹ × 83¹ × 66337¹
LCM(66317,66337) = 4399270829