What is the Least Common Multiple of 51444 and 51448?

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 51444 and 51448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51444 and 51448, than apply into the LCM equation.

GCF(51444,51448) = 4
LCM(51444,51448) = ( 51444 × 51448) / 4
LCM(51444,51448) = 2646690912 / 4
LCM(51444,51448) = 661672728

Least Common Multiple (LCM) of 51444 and 51448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51444 and 51448. First we will calculate the prime factors of 51444 and 51448.

Prime Factorization of 51444

Prime Factorization of 51448

Now multiplying the highest exponent prime factors to calculate the LCM of 51444 and 51448.

LCM(51444,51448) = 2³ × 3² × 1429¹ × 59¹ × 109¹
LCM(51444,51448) = 661672728