What is the Least Common Multiple of 21488 and 21505?

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 21488 and 21505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21488 and 21505, than apply into the LCM equation.

GCF(21488,21505) = 17
LCM(21488,21505) = ( 21488 × 21505) / 17
LCM(21488,21505) = 462099440 / 17
LCM(21488,21505) = 27182320

Least Common Multiple (LCM) of 21488 and 21505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21488 and 21505. First we will calculate the prime factors of 21488 and 21505.

Prime Factorization of 21488

Prime Factorization of 21505

Now multiplying the highest exponent prime factors to calculate the LCM of 21488 and 21505.

LCM(21488,21505) = 2⁴ × 17¹ × 79¹ × 5¹ × 11¹ × 23¹
LCM(21488,21505) = 27182320