What is the Least Common Multiple of 43410 and 43422?

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 43422 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 43422, than apply into the LCM equation.

GCF(43410,43422) = 6
LCM(43410,43422) = ( 43410 × 43422) / 6
LCM(43410,43422) = 1884949020 / 6
LCM(43410,43422) = 314158170

Least Common Multiple (LCM) of 43410 and 43422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43410 and 43422. First we will calculate the prime factors of 43410 and 43422.

Prime Factorization of 43410

Prime Factorization of 43422

Now multiplying the highest exponent prime factors to calculate the LCM of 43410 and 43422.

LCM(43410,43422) = 2¹ × 3¹ × 5¹ × 1447¹ × 7237¹
LCM(43410,43422) = 314158170