What is the Least Common Multiple of 47084 and 47102?

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 47084 and 47102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47084 and 47102, than apply into the LCM equation.

GCF(47084,47102) = 2
LCM(47084,47102) = ( 47084 × 47102) / 2
LCM(47084,47102) = 2217750568 / 2
LCM(47084,47102) = 1108875284

Least Common Multiple (LCM) of 47084 and 47102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47084 and 47102. First we will calculate the prime factors of 47084 and 47102.

Prime Factorization of 47084

Prime Factorization of 47102

Now multiplying the highest exponent prime factors to calculate the LCM of 47084 and 47102.

LCM(47084,47102) = 2² × 79¹ × 149¹ × 11¹ × 2141¹
LCM(47084,47102) = 1108875284