What is the Least Common Multiple of 41029 and 41048?

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 41029 and 41048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41029 and 41048, than apply into the LCM equation.

GCF(41029,41048) = 1
LCM(41029,41048) = ( 41029 × 41048) / 1
LCM(41029,41048) = 1684158392 / 1
LCM(41029,41048) = 1684158392

Least Common Multiple (LCM) of 41029 and 41048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41029 and 41048. First we will calculate the prime factors of 41029 and 41048.

Prime Factorization of 41029

Prime Factorization of 41048

Now multiplying the highest exponent prime factors to calculate the LCM of 41029 and 41048.

LCM(41029,41048) = 89¹ × 461¹ × 2³ × 7¹ × 733¹
LCM(41029,41048) = 1684158392