What is the Least Common Multiple of 45344 and 45352?

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 45344 and 45352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45344 and 45352, than apply into the LCM equation.

GCF(45344,45352) = 8
LCM(45344,45352) = ( 45344 × 45352) / 8
LCM(45344,45352) = 2056441088 / 8
LCM(45344,45352) = 257055136

Least Common Multiple (LCM) of 45344 and 45352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45344 and 45352. First we will calculate the prime factors of 45344 and 45352.

Prime Factorization of 45344

Prime Factorization of 45352

Now multiplying the highest exponent prime factors to calculate the LCM of 45344 and 45352.

LCM(45344,45352) = 2⁵ × 13¹ × 109¹ × 5669¹
LCM(45344,45352) = 257055136