What is the Least Common Multiple of 6640 and 6649?

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 6640 and 6649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6640 and 6649, than apply into the LCM equation.

GCF(6640,6649) = 1
LCM(6640,6649) = ( 6640 × 6649) / 1
LCM(6640,6649) = 44149360 / 1
LCM(6640,6649) = 44149360

Least Common Multiple (LCM) of 6640 and 6649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6640 and 6649. First we will calculate the prime factors of 6640 and 6649.

Prime Factorization of 6640

Prime Factorization of 6649

Now multiplying the highest exponent prime factors to calculate the LCM of 6640 and 6649.

LCM(6640,6649) = 2⁴ × 5¹ × 83¹ × 61¹ × 109¹
LCM(6640,6649) = 44149360