What is the Least Common Multiple of 61800 and 61815?

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 61815 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 61815, than apply into the LCM equation.

GCF(61800,61815) = 15
LCM(61800,61815) = ( 61800 × 61815) / 15
LCM(61800,61815) = 3820167000 / 15
LCM(61800,61815) = 254677800

Least Common Multiple (LCM) of 61800 and 61815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61800 and 61815. First we will calculate the prime factors of 61800 and 61815.

Prime Factorization of 61800

Prime Factorization of 61815

Now multiplying the highest exponent prime factors to calculate the LCM of 61800 and 61815.

LCM(61800,61815) = 2³ × 3¹ × 5² × 103¹ × 13¹ × 317¹
LCM(61800,61815) = 254677800