What is the Least Common Multiple of 45278 and 45296?

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 45278 and 45296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45278 and 45296, than apply into the LCM equation.

GCF(45278,45296) = 2
LCM(45278,45296) = ( 45278 × 45296) / 2
LCM(45278,45296) = 2050912288 / 2
LCM(45278,45296) = 1025456144

Least Common Multiple (LCM) of 45278 and 45296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45278 and 45296. First we will calculate the prime factors of 45278 and 45296.

Prime Factorization of 45278

Prime Factorization of 45296

Now multiplying the highest exponent prime factors to calculate the LCM of 45278 and 45296.

LCM(45278,45296) = 2⁴ × 22639¹ × 19¹ × 149¹
LCM(45278,45296) = 1025456144