What is the Least Common Multiple of 26640 and 26649?

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 26649 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 26649, than apply into the LCM equation.

GCF(26640,26649) = 9
LCM(26640,26649) = ( 26640 × 26649) / 9
LCM(26640,26649) = 709929360 / 9
LCM(26640,26649) = 78881040

Least Common Multiple (LCM) of 26640 and 26649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26640 and 26649. First we will calculate the prime factors of 26640 and 26649.

Prime Factorization of 26640

Prime Factorization of 26649

Now multiplying the highest exponent prime factors to calculate the LCM of 26640 and 26649.

LCM(26640,26649) = 2⁴ × 3⁴ × 5¹ × 37¹ × 7¹ × 47¹
LCM(26640,26649) = 78881040