What is the Least Common Multiple of 43410 and 43428?

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 43410 and 43428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43410 and 43428, than apply into the LCM equation.

GCF(43410,43428) = 6
LCM(43410,43428) = ( 43410 × 43428) / 6
LCM(43410,43428) = 1885209480 / 6
LCM(43410,43428) = 314201580

Least Common Multiple (LCM) of 43410 and 43428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43410 and 43428. First we will calculate the prime factors of 43410 and 43428.

Prime Factorization of 43410

Prime Factorization of 43428

Now multiplying the highest exponent prime factors to calculate the LCM of 43410 and 43428.

LCM(43410,43428) = 2² × 3¹ × 5¹ × 1447¹ × 7¹ × 11¹ × 47¹
LCM(43410,43428) = 314201580