What is the Least Common Multiple of 21536 and 21541?

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 21536 and 21541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21536 and 21541, than apply into the LCM equation.

GCF(21536,21541) = 1
LCM(21536,21541) = ( 21536 × 21541) / 1
LCM(21536,21541) = 463906976 / 1
LCM(21536,21541) = 463906976

Least Common Multiple (LCM) of 21536 and 21541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21536 and 21541. First we will calculate the prime factors of 21536 and 21541.

Prime Factorization of 21536

Prime Factorization of 21541

Now multiplying the highest exponent prime factors to calculate the LCM of 21536 and 21541.

LCM(21536,21541) = 2⁵ × 673¹ × 13¹ × 1657¹
LCM(21536,21541) = 463906976