What is the Least Common Multiple of 45608 and 45614?

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 45614 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 45614, than apply into the LCM equation.

GCF(45608,45614) = 2
LCM(45608,45614) = ( 45608 × 45614) / 2
LCM(45608,45614) = 2080363312 / 2
LCM(45608,45614) = 1040181656

Least Common Multiple (LCM) of 45608 and 45614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45608 and 45614. First we will calculate the prime factors of 45608 and 45614.

Prime Factorization of 45608

Prime Factorization of 45614

Now multiplying the highest exponent prime factors to calculate the LCM of 45608 and 45614.

LCM(45608,45614) = 2³ × 5701¹ × 22807¹
LCM(45608,45614) = 1040181656