What is the Least Common Multiple of 58869 and 58879?

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 58869 and 58879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58869 and 58879, than apply into the LCM equation.

GCF(58869,58879) = 1
LCM(58869,58879) = ( 58869 × 58879) / 1
LCM(58869,58879) = 3466147851 / 1
LCM(58869,58879) = 3466147851

Least Common Multiple (LCM) of 58869 and 58879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58869 and 58879. First we will calculate the prime factors of 58869 and 58879.

Prime Factorization of 58869

Prime Factorization of 58879

Now multiplying the highest exponent prime factors to calculate the LCM of 58869 and 58879.

LCM(58869,58879) = 3² × 31¹ × 211¹ × 97¹ × 607¹
LCM(58869,58879) = 3466147851