What is the Least Common Multiple of 43814 and 43830?

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 43814 and 43830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43814 and 43830, than apply into the LCM equation.

GCF(43814,43830) = 2
LCM(43814,43830) = ( 43814 × 43830) / 2
LCM(43814,43830) = 1920367620 / 2
LCM(43814,43830) = 960183810

Least Common Multiple (LCM) of 43814 and 43830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43814 and 43830. First we will calculate the prime factors of 43814 and 43830.

Prime Factorization of 43814

Prime Factorization of 43830

Now multiplying the highest exponent prime factors to calculate the LCM of 43814 and 43830.

LCM(43814,43830) = 2¹ × 19¹ × 1153¹ × 3² × 5¹ × 487¹
LCM(43814,43830) = 960183810