What is the Least Common Multiple of 21528 and 21536?

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 21528 and 21536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21528 and 21536, than apply into the LCM equation.

GCF(21528,21536) = 8
LCM(21528,21536) = ( 21528 × 21536) / 8
LCM(21528,21536) = 463627008 / 8
LCM(21528,21536) = 57953376

Least Common Multiple (LCM) of 21528 and 21536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21528 and 21536. First we will calculate the prime factors of 21528 and 21536.

Prime Factorization of 21528

Prime Factorization of 21536

Now multiplying the highest exponent prime factors to calculate the LCM of 21528 and 21536.

LCM(21528,21536) = 2⁵ × 3² × 13¹ × 23¹ × 673¹
LCM(21528,21536) = 57953376