What is the Least Common Multiple of 56400 and 56406?

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 56400 and 56406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56400 and 56406, than apply into the LCM equation.

GCF(56400,56406) = 6
LCM(56400,56406) = ( 56400 × 56406) / 6
LCM(56400,56406) = 3181298400 / 6
LCM(56400,56406) = 530216400

Least Common Multiple (LCM) of 56400 and 56406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56400 and 56406. First we will calculate the prime factors of 56400 and 56406.

Prime Factorization of 56400

Prime Factorization of 56406

Now multiplying the highest exponent prime factors to calculate the LCM of 56400 and 56406.

LCM(56400,56406) = 2⁴ × 3¹ × 5² × 47¹ × 7¹ × 17¹ × 79¹
LCM(56400,56406) = 530216400