What is the Least Common Multiple of 21416 and 21436?

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 21416 and 21436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21416 and 21436, than apply into the LCM equation.

GCF(21416,21436) = 4
LCM(21416,21436) = ( 21416 × 21436) / 4
LCM(21416,21436) = 459073376 / 4
LCM(21416,21436) = 114768344

Least Common Multiple (LCM) of 21416 and 21436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21416 and 21436. First we will calculate the prime factors of 21416 and 21436.

Prime Factorization of 21416

Prime Factorization of 21436

Now multiplying the highest exponent prime factors to calculate the LCM of 21416 and 21436.

LCM(21416,21436) = 2³ × 2677¹ × 23¹ × 233¹
LCM(21416,21436) = 114768344