What is the Least Common Multiple of 54928 and 54938?

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 54928 and 54938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54928 and 54938, than apply into the LCM equation.

GCF(54928,54938) = 2
LCM(54928,54938) = ( 54928 × 54938) / 2
LCM(54928,54938) = 3017634464 / 2
LCM(54928,54938) = 1508817232

Least Common Multiple (LCM) of 54928 and 54938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54928 and 54938. First we will calculate the prime factors of 54928 and 54938.

Prime Factorization of 54928

Prime Factorization of 54938

Now multiplying the highest exponent prime factors to calculate the LCM of 54928 and 54938.

LCM(54928,54938) = 2⁴ × 3433¹ × 13¹ × 2113¹
LCM(54928,54938) = 1508817232