What is the Least Common Multiple of 58700 and 58705?

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 58700 and 58705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58700 and 58705, than apply into the LCM equation.

GCF(58700,58705) = 5
LCM(58700,58705) = ( 58700 × 58705) / 5
LCM(58700,58705) = 3445983500 / 5
LCM(58700,58705) = 689196700

Least Common Multiple (LCM) of 58700 and 58705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58700 and 58705. First we will calculate the prime factors of 58700 and 58705.

Prime Factorization of 58700

Prime Factorization of 58705

Now multiplying the highest exponent prime factors to calculate the LCM of 58700 and 58705.

LCM(58700,58705) = 2² × 5² × 587¹ × 59¹ × 199¹
LCM(58700,58705) = 689196700