What is the Least Common Multiple of 54160 and 54178?

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 54160 and 54178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54160 and 54178, than apply into the LCM equation.

GCF(54160,54178) = 2
LCM(54160,54178) = ( 54160 × 54178) / 2
LCM(54160,54178) = 2934280480 / 2
LCM(54160,54178) = 1467140240

Least Common Multiple (LCM) of 54160 and 54178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54160 and 54178. First we will calculate the prime factors of 54160 and 54178.

Prime Factorization of 54160

Prime Factorization of 54178

Now multiplying the highest exponent prime factors to calculate the LCM of 54160 and 54178.

LCM(54160,54178) = 2⁴ × 5¹ × 677¹ × 103¹ × 263¹
LCM(54160,54178) = 1467140240