What is the Least Common Multiple of 56084 and 56104?

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 56104 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 56104, than apply into the LCM equation.

GCF(56084,56104) = 4
LCM(56084,56104) = ( 56084 × 56104) / 4
LCM(56084,56104) = 3146536736 / 4
LCM(56084,56104) = 786634184

Least Common Multiple (LCM) of 56084 and 56104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56084 and 56104. First we will calculate the prime factors of 56084 and 56104.

Prime Factorization of 56084

Prime Factorization of 56104

Now multiplying the highest exponent prime factors to calculate the LCM of 56084 and 56104.

LCM(56084,56104) = 2³ × 7¹ × 2003¹ × 7013¹
LCM(56084,56104) = 786634184