What is the Least Common Multiple of 43410 and 43420?

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 43420 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 43420, than apply into the LCM equation.

GCF(43410,43420) = 10
LCM(43410,43420) = ( 43410 × 43420) / 10
LCM(43410,43420) = 1884862200 / 10
LCM(43410,43420) = 188486220

Least Common Multiple (LCM) of 43410 and 43420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43410 and 43420. First we will calculate the prime factors of 43410 and 43420.

Prime Factorization of 43410

Prime Factorization of 43420

Now multiplying the highest exponent prime factors to calculate the LCM of 43410 and 43420.

LCM(43410,43420) = 2² × 3¹ × 5¹ × 1447¹ × 13¹ × 167¹
LCM(43410,43420) = 188486220