What is the Least Common Multiple of 26628 and 26648?

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 26628 and 26648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26628 and 26648, than apply into the LCM equation.

GCF(26628,26648) = 4
LCM(26628,26648) = ( 26628 × 26648) / 4
LCM(26628,26648) = 709582944 / 4
LCM(26628,26648) = 177395736

Least Common Multiple (LCM) of 26628 and 26648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26628 and 26648. First we will calculate the prime factors of 26628 and 26648.

Prime Factorization of 26628

Prime Factorization of 26648

Now multiplying the highest exponent prime factors to calculate the LCM of 26628 and 26648.

LCM(26628,26648) = 2³ × 3¹ × 7¹ × 317¹ × 3331¹
LCM(26628,26648) = 177395736