What is the Least Common Multiple of 26640 and 26660?

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 26640 and 26660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26640 and 26660, than apply into the LCM equation.

GCF(26640,26660) = 20
LCM(26640,26660) = ( 26640 × 26660) / 20
LCM(26640,26660) = 710222400 / 20
LCM(26640,26660) = 35511120

Least Common Multiple (LCM) of 26640 and 26660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26640 and 26660. First we will calculate the prime factors of 26640 and 26660.

Prime Factorization of 26640

Prime Factorization of 26660

Now multiplying the highest exponent prime factors to calculate the LCM of 26640 and 26660.

LCM(26640,26660) = 2⁴ × 3² × 5¹ × 37¹ × 31¹ × 43¹
LCM(26640,26660) = 35511120