What is the Least Common Multiple of 47805 and 47820?

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 47805 and 47820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47805 and 47820, than apply into the LCM equation.

GCF(47805,47820) = 15
LCM(47805,47820) = ( 47805 × 47820) / 15
LCM(47805,47820) = 2286035100 / 15
LCM(47805,47820) = 152402340

Least Common Multiple (LCM) of 47805 and 47820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47805 and 47820. First we will calculate the prime factors of 47805 and 47820.

Prime Factorization of 47805

Prime Factorization of 47820

Now multiplying the highest exponent prime factors to calculate the LCM of 47805 and 47820.

LCM(47805,47820) = 3¹ × 5¹ × 3187¹ × 2² × 797¹
LCM(47805,47820) = 152402340