What is the Least Common Multiple of 77382 and 77397?

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 77382 and 77397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77382 and 77397, than apply into the LCM equation.

GCF(77382,77397) = 3
LCM(77382,77397) = ( 77382 × 77397) / 3
LCM(77382,77397) = 5989134654 / 3
LCM(77382,77397) = 1996378218

Least Common Multiple (LCM) of 77382 and 77397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77382 and 77397. First we will calculate the prime factors of 77382 and 77397.

Prime Factorization of 77382

Prime Factorization of 77397

Now multiplying the highest exponent prime factors to calculate the LCM of 77382 and 77397.

LCM(77382,77397) = 2¹ × 3³ × 1433¹ × 25799¹
LCM(77382,77397) = 1996378218