What is the Least Common Multiple of 38704 and 38714?

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 38704 and 38714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38704 and 38714, than apply into the LCM equation.

GCF(38704,38714) = 2
LCM(38704,38714) = ( 38704 × 38714) / 2
LCM(38704,38714) = 1498386656 / 2
LCM(38704,38714) = 749193328

Least Common Multiple (LCM) of 38704 and 38714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38704 and 38714. First we will calculate the prime factors of 38704 and 38714.

Prime Factorization of 38704

Prime Factorization of 38714

Now multiplying the highest exponent prime factors to calculate the LCM of 38704 and 38714.

LCM(38704,38714) = 2⁴ × 41¹ × 59¹ × 13¹ × 1489¹
LCM(38704,38714) = 749193328