What is the Least Common Multiple of 26624 and 26632?

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 26624 and 26632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26624 and 26632, than apply into the LCM equation.

GCF(26624,26632) = 8
LCM(26624,26632) = ( 26624 × 26632) / 8
LCM(26624,26632) = 709050368 / 8
LCM(26624,26632) = 88631296

Least Common Multiple (LCM) of 26624 and 26632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26624 and 26632. First we will calculate the prime factors of 26624 and 26632.

Prime Factorization of 26624

Prime Factorization of 26632

Now multiplying the highest exponent prime factors to calculate the LCM of 26624 and 26632.

LCM(26624,26632) = 2¹¹ × 13¹ × 3329¹
LCM(26624,26632) = 88631296