What is the Least Common Multiple of 78339 and 78357?

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 78339 and 78357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78339 and 78357, than apply into the LCM equation.

GCF(78339,78357) = 3
LCM(78339,78357) = ( 78339 × 78357) / 3
LCM(78339,78357) = 6138409023 / 3
LCM(78339,78357) = 2046136341

Least Common Multiple (LCM) of 78339 and 78357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78339 and 78357. First we will calculate the prime factors of 78339 and 78357.

Prime Factorization of 78339

Prime Factorization of 78357

Now multiplying the highest exponent prime factors to calculate the LCM of 78339 and 78357.

LCM(78339,78357) = 3¹ × 26113¹ × 26119¹
LCM(78339,78357) = 2046136341