What is the Least Common Multiple of 38302 and 38313?

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 38302 and 38313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38302 and 38313, than apply into the LCM equation.

GCF(38302,38313) = 11
LCM(38302,38313) = ( 38302 × 38313) / 11
LCM(38302,38313) = 1467464526 / 11
LCM(38302,38313) = 133405866

Least Common Multiple (LCM) of 38302 and 38313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38302 and 38313. First we will calculate the prime factors of 38302 and 38313.

Prime Factorization of 38302

Prime Factorization of 38313

Now multiplying the highest exponent prime factors to calculate the LCM of 38302 and 38313.

LCM(38302,38313) = 2¹ × 11¹ × 1741¹ × 3⁴ × 43¹
LCM(38302,38313) = 133405866