What is the Least Common Multiple of 43414 and 43421?

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 43414 and 43421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43414 and 43421, than apply into the LCM equation.

GCF(43414,43421) = 7
LCM(43414,43421) = ( 43414 × 43421) / 7
LCM(43414,43421) = 1885079294 / 7
LCM(43414,43421) = 269297042

Least Common Multiple (LCM) of 43414 and 43421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43414 and 43421. First we will calculate the prime factors of 43414 and 43421.

Prime Factorization of 43414

Prime Factorization of 43421

Now multiplying the highest exponent prime factors to calculate the LCM of 43414 and 43421.

LCM(43414,43421) = 2¹ × 7² × 443¹ × 6203¹
LCM(43414,43421) = 269297042