What is the Least Common Multiple of 21532 and 21538?

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 21532 and 21538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21532 and 21538, than apply into the LCM equation.

GCF(21532,21538) = 2
LCM(21532,21538) = ( 21532 × 21538) / 2
LCM(21532,21538) = 463756216 / 2
LCM(21532,21538) = 231878108

Least Common Multiple (LCM) of 21532 and 21538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21532 and 21538. First we will calculate the prime factors of 21532 and 21538.

Prime Factorization of 21532

Prime Factorization of 21538

Now multiplying the highest exponent prime factors to calculate the LCM of 21532 and 21538.

LCM(21532,21538) = 2² × 7¹ × 769¹ × 11² × 89¹
LCM(21532,21538) = 231878108