What is the Least Common Multiple of 54894 and 54905?

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 54894 and 54905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54894 and 54905, than apply into the LCM equation.

GCF(54894,54905) = 1
LCM(54894,54905) = ( 54894 × 54905) / 1
LCM(54894,54905) = 3013955070 / 1
LCM(54894,54905) = 3013955070

Least Common Multiple (LCM) of 54894 and 54905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54894 and 54905. First we will calculate the prime factors of 54894 and 54905.

Prime Factorization of 54894

Prime Factorization of 54905

Now multiplying the highest exponent prime factors to calculate the LCM of 54894 and 54905.

LCM(54894,54905) = 2¹ × 3¹ × 7¹ × 1307¹ × 5¹ × 79¹ × 139¹
LCM(54894,54905) = 3013955070