What is the Least Common Multiple of 34434 and 34446?

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 34434 and 34446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34434 and 34446, than apply into the LCM equation.

GCF(34434,34446) = 6
LCM(34434,34446) = ( 34434 × 34446) / 6
LCM(34434,34446) = 1186113564 / 6
LCM(34434,34446) = 197685594

Least Common Multiple (LCM) of 34434 and 34446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34434 and 34446. First we will calculate the prime factors of 34434 and 34446.

Prime Factorization of 34434

Prime Factorization of 34446

Now multiplying the highest exponent prime factors to calculate the LCM of 34434 and 34446.

LCM(34434,34446) = 2¹ × 3² × 1913¹ × 5741¹
LCM(34434,34446) = 197685594