What is the Least Common Multiple of 20438 and 20457?

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 20438 and 20457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20438 and 20457, than apply into the LCM equation.

GCF(20438,20457) = 1
LCM(20438,20457) = ( 20438 × 20457) / 1
LCM(20438,20457) = 418100166 / 1
LCM(20438,20457) = 418100166

Least Common Multiple (LCM) of 20438 and 20457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20438 and 20457. First we will calculate the prime factors of 20438 and 20457.

Prime Factorization of 20438

Prime Factorization of 20457

Now multiplying the highest exponent prime factors to calculate the LCM of 20438 and 20457.

LCM(20438,20457) = 2¹ × 11¹ × 929¹ × 3² × 2273¹
LCM(20438,20457) = 418100166