What is the Least Common Multiple of 21682 and 21697?

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 21682 and 21697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21682 and 21697, than apply into the LCM equation.

GCF(21682,21697) = 1
LCM(21682,21697) = ( 21682 × 21697) / 1
LCM(21682,21697) = 470434354 / 1
LCM(21682,21697) = 470434354

Least Common Multiple (LCM) of 21682 and 21697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21682 and 21697. First we will calculate the prime factors of 21682 and 21697.

Prime Factorization of 21682

Prime Factorization of 21697

Now multiplying the highest exponent prime factors to calculate the LCM of 21682 and 21697.

LCM(21682,21697) = 2¹ × 37¹ × 293¹ × 13¹ × 1669¹
LCM(21682,21697) = 470434354