What is the Least Common Multiple of 21496 and 21501?

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 21496 and 21501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21496 and 21501, than apply into the LCM equation.

GCF(21496,21501) = 1
LCM(21496,21501) = ( 21496 × 21501) / 1
LCM(21496,21501) = 462185496 / 1
LCM(21496,21501) = 462185496

Least Common Multiple (LCM) of 21496 and 21501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21496 and 21501. First we will calculate the prime factors of 21496 and 21501.

Prime Factorization of 21496

Prime Factorization of 21501

Now multiplying the highest exponent prime factors to calculate the LCM of 21496 and 21501.

LCM(21496,21501) = 2³ × 2687¹ × 3² × 2389¹
LCM(21496,21501) = 462185496