What is the Least Common Multiple of 67966 and 67983?

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 67983 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 67983, than apply into the LCM equation.

GCF(67966,67983) = 17
LCM(67966,67983) = ( 67966 × 67983) / 17
LCM(67966,67983) = 4620532578 / 17
LCM(67966,67983) = 271796034

Least Common Multiple (LCM) of 67966 and 67983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67966 and 67983. First we will calculate the prime factors of 67966 and 67983.

Prime Factorization of 67966

Prime Factorization of 67983

Now multiplying the highest exponent prime factors to calculate the LCM of 67966 and 67983.

LCM(67966,67983) = 2¹ × 17¹ × 1999¹ × 3¹ × 31¹ × 43¹
LCM(67966,67983) = 271796034