What is the Least Common Multiple of 18608 and 18624?

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 18608 and 18624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18608 and 18624, than apply into the LCM equation.

GCF(18608,18624) = 16
LCM(18608,18624) = ( 18608 × 18624) / 16
LCM(18608,18624) = 346555392 / 16
LCM(18608,18624) = 21659712

Least Common Multiple (LCM) of 18608 and 18624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18608 and 18624. First we will calculate the prime factors of 18608 and 18624.

Prime Factorization of 18608

Prime Factorization of 18624

Now multiplying the highest exponent prime factors to calculate the LCM of 18608 and 18624.

LCM(18608,18624) = 2⁶ × 1163¹ × 3¹ × 97¹
LCM(18608,18624) = 21659712