What is the Least Common Multiple of 47449 and 47458?

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 47449 and 47458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47449 and 47458, than apply into the LCM equation.

GCF(47449,47458) = 1
LCM(47449,47458) = ( 47449 × 47458) / 1
LCM(47449,47458) = 2251834642 / 1
LCM(47449,47458) = 2251834642

Least Common Multiple (LCM) of 47449 and 47458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47449 and 47458. First we will calculate the prime factors of 47449 and 47458.

Prime Factorization of 47449

Prime Factorization of 47458

Now multiplying the highest exponent prime factors to calculate the LCM of 47449 and 47458.

LCM(47449,47458) = 23¹ × 2063¹ × 2¹ × 61¹ × 389¹
LCM(47449,47458) = 2251834642