What is the Least Common Multiple of 45608 and 45626?

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 45608 and 45626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45608 and 45626, than apply into the LCM equation.

GCF(45608,45626) = 2
LCM(45608,45626) = ( 45608 × 45626) / 2
LCM(45608,45626) = 2080910608 / 2
LCM(45608,45626) = 1040455304

Least Common Multiple (LCM) of 45608 and 45626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45608 and 45626. First we will calculate the prime factors of 45608 and 45626.

Prime Factorization of 45608

Prime Factorization of 45626

Now multiplying the highest exponent prime factors to calculate the LCM of 45608 and 45626.

LCM(45608,45626) = 2³ × 5701¹ × 7¹ × 3259¹
LCM(45608,45626) = 1040455304