What is the Least Common Multiple of 20340 and 20350?

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 20340 and 20350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20340 and 20350, than apply into the LCM equation.

GCF(20340,20350) = 10
LCM(20340,20350) = ( 20340 × 20350) / 10
LCM(20340,20350) = 413919000 / 10
LCM(20340,20350) = 41391900

Least Common Multiple (LCM) of 20340 and 20350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20340 and 20350. First we will calculate the prime factors of 20340 and 20350.

Prime Factorization of 20340

Prime Factorization of 20350

Now multiplying the highest exponent prime factors to calculate the LCM of 20340 and 20350.

LCM(20340,20350) = 2² × 3² × 5² × 113¹ × 11¹ × 37¹
LCM(20340,20350) = 41391900