What is the Least Common Multiple of 36444 and 36448?

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 36444 and 36448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36444 and 36448, than apply into the LCM equation.

GCF(36444,36448) = 4
LCM(36444,36448) = ( 36444 × 36448) / 4
LCM(36444,36448) = 1328310912 / 4
LCM(36444,36448) = 332077728

Least Common Multiple (LCM) of 36444 and 36448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36444 and 36448. First we will calculate the prime factors of 36444 and 36448.

Prime Factorization of 36444

Prime Factorization of 36448

Now multiplying the highest exponent prime factors to calculate the LCM of 36444 and 36448.

LCM(36444,36448) = 2⁵ × 3¹ × 3037¹ × 17¹ × 67¹
LCM(36444,36448) = 332077728