What is the Least Common Multiple of 55438 and 55448?

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 55438 and 55448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55438 and 55448, than apply into the LCM equation.

GCF(55438,55448) = 2
LCM(55438,55448) = ( 55438 × 55448) / 2
LCM(55438,55448) = 3073926224 / 2
LCM(55438,55448) = 1536963112

Least Common Multiple (LCM) of 55438 and 55448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55438 and 55448. First we will calculate the prime factors of 55438 and 55448.

Prime Factorization of 55438

Prime Factorization of 55448

Now multiplying the highest exponent prime factors to calculate the LCM of 55438 and 55448.

LCM(55438,55448) = 2³ × 53¹ × 523¹ × 29¹ × 239¹
LCM(55438,55448) = 1536963112