What is the Least Common Multiple of 56084 and 56102?

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 56084 and 56102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56084 and 56102, than apply into the LCM equation.

GCF(56084,56102) = 2
LCM(56084,56102) = ( 56084 × 56102) / 2
LCM(56084,56102) = 3146424568 / 2
LCM(56084,56102) = 1573212284

Least Common Multiple (LCM) of 56084 and 56102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56084 and 56102. First we will calculate the prime factors of 56084 and 56102.

Prime Factorization of 56084

Prime Factorization of 56102

Now multiplying the highest exponent prime factors to calculate the LCM of 56084 and 56102.

LCM(56084,56102) = 2² × 7¹ × 2003¹ × 28051¹
LCM(56084,56102) = 1573212284