What is the Least Common Multiple of 20354 and 20373?

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 20354 and 20373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20354 and 20373, than apply into the LCM equation.

GCF(20354,20373) = 1
LCM(20354,20373) = ( 20354 × 20373) / 1
LCM(20354,20373) = 414672042 / 1
LCM(20354,20373) = 414672042

Least Common Multiple (LCM) of 20354 and 20373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20354 and 20373. First we will calculate the prime factors of 20354 and 20373.

Prime Factorization of 20354

Prime Factorization of 20373

Now multiplying the highest exponent prime factors to calculate the LCM of 20354 and 20373.

LCM(20354,20373) = 2¹ × 10177¹ × 3¹ × 6791¹
LCM(20354,20373) = 414672042