What is the Least Common Multiple of 61800 and 61819?

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 61819 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 61819, than apply into the LCM equation.

GCF(61800,61819) = 1
LCM(61800,61819) = ( 61800 × 61819) / 1
LCM(61800,61819) = 3820414200 / 1
LCM(61800,61819) = 3820414200

Least Common Multiple (LCM) of 61800 and 61819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61800 and 61819. First we will calculate the prime factors of 61800 and 61819.

Prime Factorization of 61800

Prime Factorization of 61819

Now multiplying the highest exponent prime factors to calculate the LCM of 61800 and 61819.

LCM(61800,61819) = 2³ × 3¹ × 5² × 103¹ × 61819¹
LCM(61800,61819) = 3820414200