What is the Least Common Multiple of 54123 and 54142?

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 54123 and 54142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54123 and 54142, than apply into the LCM equation.

GCF(54123,54142) = 1
LCM(54123,54142) = ( 54123 × 54142) / 1
LCM(54123,54142) = 2930327466 / 1
LCM(54123,54142) = 2930327466

Least Common Multiple (LCM) of 54123 and 54142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54123 and 54142. First we will calculate the prime factors of 54123 and 54142.

Prime Factorization of 54123

Prime Factorization of 54142

Now multiplying the highest exponent prime factors to calculate the LCM of 54123 and 54142.

LCM(54123,54142) = 3¹ × 18041¹ × 2¹ × 11¹ × 23¹ × 107¹
LCM(54123,54142) = 2930327466