What is the Least Common Multiple of 20308 and 20315?

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 20308 and 20315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20308 and 20315, than apply into the LCM equation.

GCF(20308,20315) = 1
LCM(20308,20315) = ( 20308 × 20315) / 1
LCM(20308,20315) = 412557020 / 1
LCM(20308,20315) = 412557020

Least Common Multiple (LCM) of 20308 and 20315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20308 and 20315. First we will calculate the prime factors of 20308 and 20315.

Prime Factorization of 20308

Prime Factorization of 20315

Now multiplying the highest exponent prime factors to calculate the LCM of 20308 and 20315.

LCM(20308,20315) = 2² × 5077¹ × 5¹ × 17¹ × 239¹
LCM(20308,20315) = 412557020