What is the Least Common Multiple of 38896 and 38909?

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 38896 and 38909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38896 and 38909, than apply into the LCM equation.

GCF(38896,38909) = 13
LCM(38896,38909) = ( 38896 × 38909) / 13
LCM(38896,38909) = 1513404464 / 13
LCM(38896,38909) = 116415728

Least Common Multiple (LCM) of 38896 and 38909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38896 and 38909. First we will calculate the prime factors of 38896 and 38909.

Prime Factorization of 38896

Prime Factorization of 38909

Now multiplying the highest exponent prime factors to calculate the LCM of 38896 and 38909.

LCM(38896,38909) = 2⁴ × 11¹ × 13¹ × 17¹ × 41¹ × 73¹
LCM(38896,38909) = 116415728