What is the Least Common Multiple of 10420 and 10438?

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 10420 and 10438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10420 and 10438, than apply into the LCM equation.

GCF(10420,10438) = 2
LCM(10420,10438) = ( 10420 × 10438) / 2
LCM(10420,10438) = 108763960 / 2
LCM(10420,10438) = 54381980

Least Common Multiple (LCM) of 10420 and 10438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10420 and 10438. First we will calculate the prime factors of 10420 and 10438.

Prime Factorization of 10420

Prime Factorization of 10438

Now multiplying the highest exponent prime factors to calculate the LCM of 10420 and 10438.

LCM(10420,10438) = 2² × 5¹ × 521¹ × 17¹ × 307¹
LCM(10420,10438) = 54381980