What is the Least Common Multiple of 38410 and 38414?

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 38410 and 38414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38410 and 38414, than apply into the LCM equation.

GCF(38410,38414) = 2
LCM(38410,38414) = ( 38410 × 38414) / 2
LCM(38410,38414) = 1475481740 / 2
LCM(38410,38414) = 737740870

Least Common Multiple (LCM) of 38410 and 38414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38410 and 38414. First we will calculate the prime factors of 38410 and 38414.

Prime Factorization of 38410

Prime Factorization of 38414

Now multiplying the highest exponent prime factors to calculate the LCM of 38410 and 38414.

LCM(38410,38414) = 2¹ × 5¹ × 23¹ × 167¹ × 19207¹
LCM(38410,38414) = 737740870