What is the Least Common Multiple of 43434 and 43446?

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 43434 and 43446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43434 and 43446, than apply into the LCM equation.

GCF(43434,43446) = 6
LCM(43434,43446) = ( 43434 × 43446) / 6
LCM(43434,43446) = 1887033564 / 6
LCM(43434,43446) = 314505594

Least Common Multiple (LCM) of 43434 and 43446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43434 and 43446. First we will calculate the prime factors of 43434 and 43446.

Prime Factorization of 43434

Prime Factorization of 43446

Now multiplying the highest exponent prime factors to calculate the LCM of 43434 and 43446.

LCM(43434,43446) = 2¹ × 3² × 19¹ × 127¹ × 13¹ × 557¹
LCM(43434,43446) = 314505594