What is the Least Common Multiple of 38505 and 38524?

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 38505 and 38524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38505 and 38524, than apply into the LCM equation.

GCF(38505,38524) = 1
LCM(38505,38524) = ( 38505 × 38524) / 1
LCM(38505,38524) = 1483366620 / 1
LCM(38505,38524) = 1483366620

Least Common Multiple (LCM) of 38505 and 38524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38505 and 38524. First we will calculate the prime factors of 38505 and 38524.

Prime Factorization of 38505

Prime Factorization of 38524

Now multiplying the highest exponent prime factors to calculate the LCM of 38505 and 38524.

LCM(38505,38524) = 3¹ × 5¹ × 17¹ × 151¹ × 2² × 9631¹
LCM(38505,38524) = 1483366620