What is the Least Common Multiple of 47481 and 47486?

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 47481 and 47486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47481 and 47486, than apply into the LCM equation.

GCF(47481,47486) = 1
LCM(47481,47486) = ( 47481 × 47486) / 1
LCM(47481,47486) = 2254682766 / 1
LCM(47481,47486) = 2254682766

Least Common Multiple (LCM) of 47481 and 47486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47481 and 47486. First we will calculate the prime factors of 47481 and 47486.

Prime Factorization of 47481

Prime Factorization of 47486

Now multiplying the highest exponent prime factors to calculate the LCM of 47481 and 47486.

LCM(47481,47486) = 3¹ × 7² × 17¹ × 19¹ × 2¹ × 23743¹
LCM(47481,47486) = 2254682766