What is the Least Common Multiple of 38835 and 38843?

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 38835 and 38843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38835 and 38843, than apply into the LCM equation.

GCF(38835,38843) = 1
LCM(38835,38843) = ( 38835 × 38843) / 1
LCM(38835,38843) = 1508467905 / 1
LCM(38835,38843) = 1508467905

Least Common Multiple (LCM) of 38835 and 38843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38835 and 38843. First we will calculate the prime factors of 38835 and 38843.

Prime Factorization of 38835

Prime Factorization of 38843

Now multiplying the highest exponent prime factors to calculate the LCM of 38835 and 38843.

LCM(38835,38843) = 3² × 5¹ × 863¹ × 7¹ × 31¹ × 179¹
LCM(38835,38843) = 1508467905