What is the Least Common Multiple of 38034 and 38041?

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 38034 and 38041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38034 and 38041, than apply into the LCM equation.

GCF(38034,38041) = 1
LCM(38034,38041) = ( 38034 × 38041) / 1
LCM(38034,38041) = 1446851394 / 1
LCM(38034,38041) = 1446851394

Least Common Multiple (LCM) of 38034 and 38041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38034 and 38041. First we will calculate the prime factors of 38034 and 38041.

Prime Factorization of 38034

Prime Factorization of 38041

Now multiplying the highest exponent prime factors to calculate the LCM of 38034 and 38041.

LCM(38034,38041) = 2¹ × 3² × 2113¹ × 109¹ × 349¹
LCM(38034,38041) = 1446851394