What is the Least Common Multiple of 58132 and 58149?

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 58132 and 58149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58132 and 58149, than apply into the LCM equation.

GCF(58132,58149) = 1
LCM(58132,58149) = ( 58132 × 58149) / 1
LCM(58132,58149) = 3380317668 / 1
LCM(58132,58149) = 3380317668

Least Common Multiple (LCM) of 58132 and 58149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58132 and 58149. First we will calculate the prime factors of 58132 and 58149.

Prime Factorization of 58132

Prime Factorization of 58149

Now multiplying the highest exponent prime factors to calculate the LCM of 58132 and 58149.

LCM(58132,58149) = 2² × 14533¹ × 3² × 7¹ × 13¹ × 71¹
LCM(58132,58149) = 3380317668