What is the Least Common Multiple of 47531 and 47546?

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 47531 and 47546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47531 and 47546, than apply into the LCM equation.

GCF(47531,47546) = 1
LCM(47531,47546) = ( 47531 × 47546) / 1
LCM(47531,47546) = 2259908926 / 1
LCM(47531,47546) = 2259908926

Least Common Multiple (LCM) of 47531 and 47546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47531 and 47546. First we will calculate the prime factors of 47531 and 47546.

Prime Factorization of 47531

Prime Factorization of 47546

Now multiplying the highest exponent prime factors to calculate the LCM of 47531 and 47546.

LCM(47531,47546) = 11¹ × 29¹ × 149¹ × 2¹ × 23773¹
LCM(47531,47546) = 2259908926