What is the Least Common Multiple of 56320 and 56330?

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 56320 and 56330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56320 and 56330, than apply into the LCM equation.

GCF(56320,56330) = 10
LCM(56320,56330) = ( 56320 × 56330) / 10
LCM(56320,56330) = 3172505600 / 10
LCM(56320,56330) = 317250560

Least Common Multiple (LCM) of 56320 and 56330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56320 and 56330. First we will calculate the prime factors of 56320 and 56330.

Prime Factorization of 56320

Prime Factorization of 56330

Now multiplying the highest exponent prime factors to calculate the LCM of 56320 and 56330.

LCM(56320,56330) = 2¹⁰ × 5¹ × 11¹ × 43¹ × 131¹
LCM(56320,56330) = 317250560