What is the Least Common Multiple of 56400 and 56420?

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 56420 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 56420, than apply into the LCM equation.

GCF(56400,56420) = 20
LCM(56400,56420) = ( 56400 × 56420) / 20
LCM(56400,56420) = 3182088000 / 20
LCM(56400,56420) = 159104400

Least Common Multiple (LCM) of 56400 and 56420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56400 and 56420. First we will calculate the prime factors of 56400 and 56420.

Prime Factorization of 56400

Prime Factorization of 56420

Now multiplying the highest exponent prime factors to calculate the LCM of 56400 and 56420.

LCM(56400,56420) = 2⁴ × 3¹ × 5² × 47¹ × 7¹ × 13¹ × 31¹
LCM(56400,56420) = 159104400