What is the Least Common Multiple of 54468 and 54482?

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 54468 and 54482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54468 and 54482, than apply into the LCM equation.

GCF(54468,54482) = 2
LCM(54468,54482) = ( 54468 × 54482) / 2
LCM(54468,54482) = 2967525576 / 2
LCM(54468,54482) = 1483762788

Least Common Multiple (LCM) of 54468 and 54482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54468 and 54482. First we will calculate the prime factors of 54468 and 54482.

Prime Factorization of 54468

Prime Factorization of 54482

Now multiplying the highest exponent prime factors to calculate the LCM of 54468 and 54482.

LCM(54468,54482) = 2² × 3² × 17¹ × 89¹ × 27241¹
LCM(54468,54482) = 1483762788