What is the Least Common Multiple of 38815 and 38828?

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 38815 and 38828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38815 and 38828, than apply into the LCM equation.

GCF(38815,38828) = 1
LCM(38815,38828) = ( 38815 × 38828) / 1
LCM(38815,38828) = 1507108820 / 1
LCM(38815,38828) = 1507108820

Least Common Multiple (LCM) of 38815 and 38828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38815 and 38828. First we will calculate the prime factors of 38815 and 38828.

Prime Factorization of 38815

Prime Factorization of 38828

Now multiplying the highest exponent prime factors to calculate the LCM of 38815 and 38828.

LCM(38815,38828) = 5¹ × 7¹ × 1109¹ × 2² × 17¹ × 571¹
LCM(38815,38828) = 1507108820