What is the Least Common Multiple of 56314 and 56320?

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 56314 and 56320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56314 and 56320, than apply into the LCM equation.

GCF(56314,56320) = 2
LCM(56314,56320) = ( 56314 × 56320) / 2
LCM(56314,56320) = 3171604480 / 2
LCM(56314,56320) = 1585802240

Least Common Multiple (LCM) of 56314 and 56320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56314 and 56320. First we will calculate the prime factors of 56314 and 56320.

Prime Factorization of 56314

Prime Factorization of 56320

Now multiplying the highest exponent prime factors to calculate the LCM of 56314 and 56320.

LCM(56314,56320) = 2¹⁰ × 37¹ × 761¹ × 5¹ × 11¹
LCM(56314,56320) = 1585802240