What is the Least Common Multiple of 56400 and 56407?

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 56407 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 56407, than apply into the LCM equation.

GCF(56400,56407) = 1
LCM(56400,56407) = ( 56400 × 56407) / 1
LCM(56400,56407) = 3181354800 / 1
LCM(56400,56407) = 3181354800

Least Common Multiple (LCM) of 56400 and 56407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56400 and 56407. First we will calculate the prime factors of 56400 and 56407.

Prime Factorization of 56400

Prime Factorization of 56407

Now multiplying the highest exponent prime factors to calculate the LCM of 56400 and 56407.

LCM(56400,56407) = 2⁴ × 3¹ × 5² × 47¹ × 13¹ × 4339¹
LCM(56400,56407) = 3181354800