What is the Least Common Multiple of 58705 and 58720?

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 58705 and 58720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58705 and 58720, than apply into the LCM equation.

GCF(58705,58720) = 5
LCM(58705,58720) = ( 58705 × 58720) / 5
LCM(58705,58720) = 3447157600 / 5
LCM(58705,58720) = 689431520

Least Common Multiple (LCM) of 58705 and 58720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58705 and 58720. First we will calculate the prime factors of 58705 and 58720.

Prime Factorization of 58705

Prime Factorization of 58720

Now multiplying the highest exponent prime factors to calculate the LCM of 58705 and 58720.

LCM(58705,58720) = 5¹ × 59¹ × 199¹ × 2⁵ × 367¹
LCM(58705,58720) = 689431520