What is the Least Common Multiple of 23528 and 23536?

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 23528 and 23536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23528 and 23536, than apply into the LCM equation.

GCF(23528,23536) = 8
LCM(23528,23536) = ( 23528 × 23536) / 8
LCM(23528,23536) = 553755008 / 8
LCM(23528,23536) = 69219376

Least Common Multiple (LCM) of 23528 and 23536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23528 and 23536. First we will calculate the prime factors of 23528 and 23536.

Prime Factorization of 23528

Prime Factorization of 23536

Now multiplying the highest exponent prime factors to calculate the LCM of 23528 and 23536.

LCM(23528,23536) = 2⁴ × 17¹ × 173¹ × 1471¹
LCM(23528,23536) = 69219376