What is the Least Common Multiple of 20458 and 20470?

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 20458 and 20470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20458 and 20470, than apply into the LCM equation.

GCF(20458,20470) = 2
LCM(20458,20470) = ( 20458 × 20470) / 2
LCM(20458,20470) = 418775260 / 2
LCM(20458,20470) = 209387630

Least Common Multiple (LCM) of 20458 and 20470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20458 and 20470. First we will calculate the prime factors of 20458 and 20470.

Prime Factorization of 20458

Prime Factorization of 20470

Now multiplying the highest exponent prime factors to calculate the LCM of 20458 and 20470.

LCM(20458,20470) = 2¹ × 53¹ × 193¹ × 5¹ × 23¹ × 89¹
LCM(20458,20470) = 209387630