What is the Least Common Multiple of 34827 and 34845?

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 34827 and 34845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34827 and 34845, than apply into the LCM equation.

GCF(34827,34845) = 3
LCM(34827,34845) = ( 34827 × 34845) / 3
LCM(34827,34845) = 1213546815 / 3
LCM(34827,34845) = 404515605

Least Common Multiple (LCM) of 34827 and 34845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34827 and 34845. First we will calculate the prime factors of 34827 and 34845.

Prime Factorization of 34827

Prime Factorization of 34845

Now multiplying the highest exponent prime factors to calculate the LCM of 34827 and 34845.

LCM(34827,34845) = 3¹ × 13¹ × 19¹ × 47¹ × 5¹ × 23¹ × 101¹
LCM(34827,34845) = 404515605