What is the Least Common Multiple of 54723 and 54740?

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 54723 and 54740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54723 and 54740, than apply into the LCM equation.

GCF(54723,54740) = 17
LCM(54723,54740) = ( 54723 × 54740) / 17
LCM(54723,54740) = 2995537020 / 17
LCM(54723,54740) = 176208060

Least Common Multiple (LCM) of 54723 and 54740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54723 and 54740. First we will calculate the prime factors of 54723 and 54740.

Prime Factorization of 54723

Prime Factorization of 54740

Now multiplying the highest exponent prime factors to calculate the LCM of 54723 and 54740.

LCM(54723,54740) = 3¹ × 17¹ × 29¹ × 37¹ × 2² × 5¹ × 7¹ × 23¹
LCM(54723,54740) = 176208060