What is the Least Common Multiple of 51805 and 51824?

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 51805 and 51824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51805 and 51824, than apply into the LCM equation.

GCF(51805,51824) = 1
LCM(51805,51824) = ( 51805 × 51824) / 1
LCM(51805,51824) = 2684742320 / 1
LCM(51805,51824) = 2684742320

Least Common Multiple (LCM) of 51805 and 51824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51805 and 51824. First we will calculate the prime factors of 51805 and 51824.

Prime Factorization of 51805

Prime Factorization of 51824

Now multiplying the highest exponent prime factors to calculate the LCM of 51805 and 51824.

LCM(51805,51824) = 5¹ × 13¹ × 797¹ × 2⁴ × 41¹ × 79¹
LCM(51805,51824) = 2684742320