What is the Least Common Multiple of 21512 and 21526?

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 21512 and 21526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21512 and 21526, than apply into the LCM equation.

GCF(21512,21526) = 2
LCM(21512,21526) = ( 21512 × 21526) / 2
LCM(21512,21526) = 463067312 / 2
LCM(21512,21526) = 231533656

Least Common Multiple (LCM) of 21512 and 21526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21512 and 21526. First we will calculate the prime factors of 21512 and 21526.

Prime Factorization of 21512

Prime Factorization of 21526

Now multiplying the highest exponent prime factors to calculate the LCM of 21512 and 21526.

LCM(21512,21526) = 2³ × 2689¹ × 47¹ × 229¹
LCM(21512,21526) = 231533656