What is the Least Common Multiple of 58924 and 58930?

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 58924 and 58930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58924 and 58930, than apply into the LCM equation.

GCF(58924,58930) = 2
LCM(58924,58930) = ( 58924 × 58930) / 2
LCM(58924,58930) = 3472391320 / 2
LCM(58924,58930) = 1736195660

Least Common Multiple (LCM) of 58924 and 58930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58924 and 58930. First we will calculate the prime factors of 58924 and 58930.

Prime Factorization of 58924

Prime Factorization of 58930

Now multiplying the highest exponent prime factors to calculate the LCM of 58924 and 58930.

LCM(58924,58930) = 2² × 14731¹ × 5¹ × 71¹ × 83¹
LCM(58924,58930) = 1736195660