What is the Least Common Multiple of 82383 and 82397?

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 82383 and 82397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82383 and 82397, than apply into the LCM equation.

GCF(82383,82397) = 7
LCM(82383,82397) = ( 82383 × 82397) / 7
LCM(82383,82397) = 6788112051 / 7
LCM(82383,82397) = 969730293

Least Common Multiple (LCM) of 82383 and 82397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82383 and 82397. First we will calculate the prime factors of 82383 and 82397.

Prime Factorization of 82383

Prime Factorization of 82397

Now multiplying the highest exponent prime factors to calculate the LCM of 82383 and 82397.

LCM(82383,82397) = 3¹ × 7¹ × 3923¹ × 79¹ × 149¹
LCM(82383,82397) = 969730293