What is the Least Common Multiple of 67966 and 67973?

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 67966 and 67973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67966 and 67973, than apply into the LCM equation.

GCF(67966,67973) = 1
LCM(67966,67973) = ( 67966 × 67973) / 1
LCM(67966,67973) = 4619852918 / 1
LCM(67966,67973) = 4619852918

Least Common Multiple (LCM) of 67966 and 67973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67966 and 67973. First we will calculate the prime factors of 67966 and 67973.

Prime Factorization of 67966

Prime Factorization of 67973

Now multiplying the highest exponent prime factors to calculate the LCM of 67966 and 67973.

LCM(67966,67973) = 2¹ × 17¹ × 1999¹ × 101¹ × 673¹
LCM(67966,67973) = 4619852918