What is the Least Common Multiple of 39820 and 39835?

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 39820 and 39835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39820 and 39835, than apply into the LCM equation.

GCF(39820,39835) = 5
LCM(39820,39835) = ( 39820 × 39835) / 5
LCM(39820,39835) = 1586229700 / 5
LCM(39820,39835) = 317245940

Least Common Multiple (LCM) of 39820 and 39835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39820 and 39835. First we will calculate the prime factors of 39820 and 39835.

Prime Factorization of 39820

Prime Factorization of 39835

Now multiplying the highest exponent prime factors to calculate the LCM of 39820 and 39835.

LCM(39820,39835) = 2² × 5¹ × 11¹ × 181¹ × 31¹ × 257¹
LCM(39820,39835) = 317245940