What is the Least Common Multiple of 38815 and 38835?

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 38835 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 38835, than apply into the LCM equation.

GCF(38815,38835) = 5
LCM(38815,38835) = ( 38815 × 38835) / 5
LCM(38815,38835) = 1507380525 / 5
LCM(38815,38835) = 301476105

Least Common Multiple (LCM) of 38815 and 38835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38815 and 38835. First we will calculate the prime factors of 38815 and 38835.

Prime Factorization of 38815

Prime Factorization of 38835

Now multiplying the highest exponent prime factors to calculate the LCM of 38815 and 38835.

LCM(38815,38835) = 5¹ × 7¹ × 1109¹ × 3² × 863¹
LCM(38815,38835) = 301476105