What is the Least Common Multiple of 21521 and 21535?

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 21521 and 21535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21521 and 21535, than apply into the LCM equation.

GCF(21521,21535) = 1
LCM(21521,21535) = ( 21521 × 21535) / 1
LCM(21521,21535) = 463454735 / 1
LCM(21521,21535) = 463454735

Least Common Multiple (LCM) of 21521 and 21535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21521 and 21535. First we will calculate the prime factors of 21521 and 21535.

Prime Factorization of 21521

Prime Factorization of 21535

Now multiplying the highest exponent prime factors to calculate the LCM of 21521 and 21535.

LCM(21521,21535) = 21521¹ × 5¹ × 59¹ × 73¹
LCM(21521,21535) = 463454735