What is the Least Common Multiple of 78353 and 78373?

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 78353 and 78373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78353 and 78373, than apply into the LCM equation.

GCF(78353,78373) = 1
LCM(78353,78373) = ( 78353 × 78373) / 1
LCM(78353,78373) = 6140759669 / 1
LCM(78353,78373) = 6140759669

Least Common Multiple (LCM) of 78353 and 78373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78353 and 78373. First we will calculate the prime factors of 78353 and 78373.

Prime Factorization of 78353

Prime Factorization of 78373

Now multiplying the highest exponent prime factors to calculate the LCM of 78353 and 78373.

LCM(78353,78373) = 11¹ × 17¹ × 419¹ × 181¹ × 433¹
LCM(78353,78373) = 6140759669