What is the Least Common Multiple of 54738 and 54749?

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 54738 and 54749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54738 and 54749, than apply into the LCM equation.

GCF(54738,54749) = 1
LCM(54738,54749) = ( 54738 × 54749) / 1
LCM(54738,54749) = 2996850762 / 1
LCM(54738,54749) = 2996850762

Least Common Multiple (LCM) of 54738 and 54749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54738 and 54749. First we will calculate the prime factors of 54738 and 54749.

Prime Factorization of 54738

Prime Factorization of 54749

Now multiplying the highest exponent prime factors to calculate the LCM of 54738 and 54749.

LCM(54738,54749) = 2¹ × 3² × 3041¹ × 53¹ × 1033¹
LCM(54738,54749) = 2996850762