What is the Least Common Multiple of 47054 and 47059?

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 47054 and 47059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47054 and 47059, than apply into the LCM equation.

GCF(47054,47059) = 1
LCM(47054,47059) = ( 47054 × 47059) / 1
LCM(47054,47059) = 2214314186 / 1
LCM(47054,47059) = 2214314186

Least Common Multiple (LCM) of 47054 and 47059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47054 and 47059. First we will calculate the prime factors of 47054 and 47059.

Prime Factorization of 47054

Prime Factorization of 47059

Now multiplying the highest exponent prime factors to calculate the LCM of 47054 and 47059.

LCM(47054,47059) = 2¹ × 7¹ × 3361¹ × 47059¹
LCM(47054,47059) = 2214314186