What is the Least Common Multiple of 39805 and 39820?

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 39805 and 39820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39805 and 39820, than apply into the LCM equation.

GCF(39805,39820) = 5
LCM(39805,39820) = ( 39805 × 39820) / 5
LCM(39805,39820) = 1585035100 / 5
LCM(39805,39820) = 317007020

Least Common Multiple (LCM) of 39805 and 39820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39805 and 39820. First we will calculate the prime factors of 39805 and 39820.

Prime Factorization of 39805

Prime Factorization of 39820

Now multiplying the highest exponent prime factors to calculate the LCM of 39805 and 39820.

LCM(39805,39820) = 5¹ × 19¹ × 419¹ × 2² × 11¹ × 181¹
LCM(39805,39820) = 317007020