What is the Least Common Multiple of 21488 and 21495?

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 21495 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 21495, than apply into the LCM equation.

GCF(21488,21495) = 1
LCM(21488,21495) = ( 21488 × 21495) / 1
LCM(21488,21495) = 461884560 / 1
LCM(21488,21495) = 461884560

Least Common Multiple (LCM) of 21488 and 21495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21488 and 21495. First we will calculate the prime factors of 21488 and 21495.

Prime Factorization of 21488

Prime Factorization of 21495

Now multiplying the highest exponent prime factors to calculate the LCM of 21488 and 21495.

LCM(21488,21495) = 2⁴ × 17¹ × 79¹ × 3¹ × 5¹ × 1433¹
LCM(21488,21495) = 461884560