What is the Least Common Multiple of 47608 and 47626?

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 47608 and 47626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47608 and 47626, than apply into the LCM equation.

GCF(47608,47626) = 2
LCM(47608,47626) = ( 47608 × 47626) / 2
LCM(47608,47626) = 2267378608 / 2
LCM(47608,47626) = 1133689304

Least Common Multiple (LCM) of 47608 and 47626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47608 and 47626. First we will calculate the prime factors of 47608 and 47626.

Prime Factorization of 47608

Prime Factorization of 47626

Now multiplying the highest exponent prime factors to calculate the LCM of 47608 and 47626.

LCM(47608,47626) = 2³ × 11¹ × 541¹ × 23813¹
LCM(47608,47626) = 1133689304