What is the Least Common Multiple of 45296 and 45314?

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 45296 and 45314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45296 and 45314, than apply into the LCM equation.

GCF(45296,45314) = 2
LCM(45296,45314) = ( 45296 × 45314) / 2
LCM(45296,45314) = 2052542944 / 2
LCM(45296,45314) = 1026271472

Least Common Multiple (LCM) of 45296 and 45314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45296 and 45314. First we will calculate the prime factors of 45296 and 45314.

Prime Factorization of 45296

Prime Factorization of 45314

Now multiplying the highest exponent prime factors to calculate the LCM of 45296 and 45314.

LCM(45296,45314) = 2⁴ × 19¹ × 149¹ × 139¹ × 163¹
LCM(45296,45314) = 1026271472