What is the Least Common Multiple of 78357 and 78371?

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 78357 and 78371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78357 and 78371, than apply into the LCM equation.

GCF(78357,78371) = 1
LCM(78357,78371) = ( 78357 × 78371) / 1
LCM(78357,78371) = 6140916447 / 1
LCM(78357,78371) = 6140916447

Least Common Multiple (LCM) of 78357 and 78371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78357 and 78371. First we will calculate the prime factors of 78357 and 78371.

Prime Factorization of 78357

Prime Factorization of 78371

Now multiplying the highest exponent prime factors to calculate the LCM of 78357 and 78371.

LCM(78357,78371) = 3¹ × 26119¹ × 109¹ × 719¹
LCM(78357,78371) = 6140916447