What is the Least Common Multiple of 43830 and 43845?

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 43830 and 43845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43830 and 43845, than apply into the LCM equation.

GCF(43830,43845) = 15
LCM(43830,43845) = ( 43830 × 43845) / 15
LCM(43830,43845) = 1921726350 / 15
LCM(43830,43845) = 128115090

Least Common Multiple (LCM) of 43830 and 43845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43830 and 43845. First we will calculate the prime factors of 43830 and 43845.

Prime Factorization of 43830

Prime Factorization of 43845

Now multiplying the highest exponent prime factors to calculate the LCM of 43830 and 43845.

LCM(43830,43845) = 2¹ × 3² × 5¹ × 487¹ × 37¹ × 79¹
LCM(43830,43845) = 128115090