What is the Least Common Multiple of 67683 and 67697?

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 67683 and 67697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67683 and 67697, than apply into the LCM equation.

GCF(67683,67697) = 7
LCM(67683,67697) = ( 67683 × 67697) / 7
LCM(67683,67697) = 4581936051 / 7
LCM(67683,67697) = 654562293

Least Common Multiple (LCM) of 67683 and 67697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67683 and 67697. First we will calculate the prime factors of 67683 and 67697.

Prime Factorization of 67683

Prime Factorization of 67697

Now multiplying the highest exponent prime factors to calculate the LCM of 67683 and 67697.

LCM(67683,67697) = 3¹ × 7¹ × 11¹ × 293¹ × 19¹ × 509¹
LCM(67683,67697) = 654562293