What is the Least Common Multiple of 56314 and 56328?

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 56328 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 56328, than apply into the LCM equation.

GCF(56314,56328) = 2
LCM(56314,56328) = ( 56314 × 56328) / 2
LCM(56314,56328) = 3172054992 / 2
LCM(56314,56328) = 1586027496

Least Common Multiple (LCM) of 56314 and 56328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56314 and 56328. First we will calculate the prime factors of 56314 and 56328.

Prime Factorization of 56314

Prime Factorization of 56328

Now multiplying the highest exponent prime factors to calculate the LCM of 56314 and 56328.

LCM(56314,56328) = 2³ × 37¹ × 761¹ × 3¹ × 2347¹
LCM(56314,56328) = 1586027496