What is the Least Common Multiple of 39578 and 39593?

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 39578 and 39593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39578 and 39593, than apply into the LCM equation.

GCF(39578,39593) = 1
LCM(39578,39593) = ( 39578 × 39593) / 1
LCM(39578,39593) = 1567011754 / 1
LCM(39578,39593) = 1567011754

Least Common Multiple (LCM) of 39578 and 39593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39578 and 39593. First we will calculate the prime factors of 39578 and 39593.

Prime Factorization of 39578

Prime Factorization of 39593

Now multiplying the highest exponent prime factors to calculate the LCM of 39578 and 39593.

LCM(39578,39593) = 2¹ × 7¹ × 11¹ × 257¹ × 17² × 137¹
LCM(39578,39593) = 1567011754