What is the Least Common Multiple of 6614 and 6626?

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 6614 and 6626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6614 and 6626, than apply into the LCM equation.

GCF(6614,6626) = 2
LCM(6614,6626) = ( 6614 × 6626) / 2
LCM(6614,6626) = 43824364 / 2
LCM(6614,6626) = 21912182

Least Common Multiple (LCM) of 6614 and 6626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6614 and 6626. First we will calculate the prime factors of 6614 and 6626.

Prime Factorization of 6614

Prime Factorization of 6626

Now multiplying the highest exponent prime factors to calculate the LCM of 6614 and 6626.

LCM(6614,6626) = 2¹ × 3307¹ × 3313¹
LCM(6614,6626) = 21912182