What is the Least Common Multiple of 58824 and 58841?

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 58824 and 58841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58824 and 58841, than apply into the LCM equation.

GCF(58824,58841) = 1
LCM(58824,58841) = ( 58824 × 58841) / 1
LCM(58824,58841) = 3461262984 / 1
LCM(58824,58841) = 3461262984

Least Common Multiple (LCM) of 58824 and 58841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58824 and 58841. First we will calculate the prime factors of 58824 and 58841.

Prime Factorization of 58824

Prime Factorization of 58841

Now multiplying the highest exponent prime factors to calculate the LCM of 58824 and 58841.

LCM(58824,58841) = 2³ × 3² × 19¹ × 43¹ × 29¹ × 2029¹
LCM(58824,58841) = 3461262984