What is the Least Common Multiple of 47413 and 47430?

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 47413 and 47430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47413 and 47430, than apply into the LCM equation.

GCF(47413,47430) = 17
LCM(47413,47430) = ( 47413 × 47430) / 17
LCM(47413,47430) = 2248798590 / 17
LCM(47413,47430) = 132282270

Least Common Multiple (LCM) of 47413 and 47430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47413 and 47430. First we will calculate the prime factors of 47413 and 47430.

Prime Factorization of 47413

Prime Factorization of 47430

Now multiplying the highest exponent prime factors to calculate the LCM of 47413 and 47430.

LCM(47413,47430) = 17¹ × 2789¹ × 2¹ × 3² × 5¹ × 31¹
LCM(47413,47430) = 132282270