What is the Least Common Multiple of 93029 and 93041?

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 93029 and 93041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93029 and 93041, than apply into the LCM equation.

GCF(93029,93041) = 1
LCM(93029,93041) = ( 93029 × 93041) / 1
LCM(93029,93041) = 8655511189 / 1
LCM(93029,93041) = 8655511189

Least Common Multiple (LCM) of 93029 and 93041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93029 and 93041. First we will calculate the prime factors of 93029 and 93041.

Prime Factorization of 93029

Prime Factorization of 93041

Now multiplying the highest exponent prime factors to calculate the LCM of 93029 and 93041.

LCM(93029,93041) = 41¹ × 2269¹ × 13¹ × 17¹ × 421¹
LCM(93029,93041) = 8655511189