What is the Least Common Multiple of 20428 and 20438?

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 20428 and 20438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20428 and 20438, than apply into the LCM equation.

GCF(20428,20438) = 2
LCM(20428,20438) = ( 20428 × 20438) / 2
LCM(20428,20438) = 417507464 / 2
LCM(20428,20438) = 208753732

Least Common Multiple (LCM) of 20428 and 20438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20428 and 20438. First we will calculate the prime factors of 20428 and 20438.

Prime Factorization of 20428

Prime Factorization of 20438

Now multiplying the highest exponent prime factors to calculate the LCM of 20428 and 20438.

LCM(20428,20438) = 2² × 5107¹ × 11¹ × 929¹
LCM(20428,20438) = 208753732