What is the Least Common Multiple of 56320 and 56335?

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 56335 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 56335, than apply into the LCM equation.

GCF(56320,56335) = 5
LCM(56320,56335) = ( 56320 × 56335) / 5
LCM(56320,56335) = 3172787200 / 5
LCM(56320,56335) = 634557440

Least Common Multiple (LCM) of 56320 and 56335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56320 and 56335. First we will calculate the prime factors of 56320 and 56335.

Prime Factorization of 56320

Prime Factorization of 56335

Now multiplying the highest exponent prime factors to calculate the LCM of 56320 and 56335.

LCM(56320,56335) = 2¹⁰ × 5¹ × 11¹ × 19¹ × 593¹
LCM(56320,56335) = 634557440