What is the Least Common Multiple of 61800 and 61817?

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 61800 and 61817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61800 and 61817, than apply into the LCM equation.

GCF(61800,61817) = 1
LCM(61800,61817) = ( 61800 × 61817) / 1
LCM(61800,61817) = 3820290600 / 1
LCM(61800,61817) = 3820290600

Least Common Multiple (LCM) of 61800 and 61817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61800 and 61817. First we will calculate the prime factors of 61800 and 61817.

Prime Factorization of 61800

Prime Factorization of 61817

Now multiplying the highest exponent prime factors to calculate the LCM of 61800 and 61817.

LCM(61800,61817) = 2³ × 3¹ × 5² × 103¹ × 7¹ × 8831¹
LCM(61800,61817) = 3820290600