What is the Least Common Multiple of 61830 and 61845?

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 61830 and 61845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61830 and 61845, than apply into the LCM equation.

GCF(61830,61845) = 15
LCM(61830,61845) = ( 61830 × 61845) / 15
LCM(61830,61845) = 3823876350 / 15
LCM(61830,61845) = 254925090

Least Common Multiple (LCM) of 61830 and 61845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61830 and 61845. First we will calculate the prime factors of 61830 and 61845.

Prime Factorization of 61830

Prime Factorization of 61845

Now multiplying the highest exponent prime factors to calculate the LCM of 61830 and 61845.

LCM(61830,61845) = 2¹ × 3³ × 5¹ × 229¹ × 7¹ × 19¹ × 31¹
LCM(61830,61845) = 254925090