What is the Least Common Multiple of 6649 and 6661?

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 6649 and 6661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6649 and 6661, than apply into the LCM equation.

GCF(6649,6661) = 1
LCM(6649,6661) = ( 6649 × 6661) / 1
LCM(6649,6661) = 44288989 / 1
LCM(6649,6661) = 44288989

Least Common Multiple (LCM) of 6649 and 6661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6649 and 6661. First we will calculate the prime factors of 6649 and 6661.

Prime Factorization of 6649

Prime Factorization of 6661

Now multiplying the highest exponent prime factors to calculate the LCM of 6649 and 6661.

LCM(6649,6661) = 61¹ × 109¹ × 6661¹
LCM(6649,6661) = 44288989