What is the Least Common Multiple of 77608 and 77626?

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 77608 and 77626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77608 and 77626, than apply into the LCM equation.

GCF(77608,77626) = 2
LCM(77608,77626) = ( 77608 × 77626) / 2
LCM(77608,77626) = 6024398608 / 2
LCM(77608,77626) = 3012199304

Least Common Multiple (LCM) of 77608 and 77626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77608 and 77626. First we will calculate the prime factors of 77608 and 77626.

Prime Factorization of 77608

Prime Factorization of 77626

Now multiplying the highest exponent prime factors to calculate the LCM of 77608 and 77626.

LCM(77608,77626) = 2³ × 89¹ × 109¹ × 37¹ × 1049¹
LCM(77608,77626) = 3012199304