What is the Least Common Multiple of 58912 and 58919?

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 58912 and 58919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58912 and 58919, than apply into the LCM equation.

GCF(58912,58919) = 7
LCM(58912,58919) = ( 58912 × 58919) / 7
LCM(58912,58919) = 3471036128 / 7
LCM(58912,58919) = 495862304

Least Common Multiple (LCM) of 58912 and 58919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58912 and 58919. First we will calculate the prime factors of 58912 and 58919.

Prime Factorization of 58912

Prime Factorization of 58919

Now multiplying the highest exponent prime factors to calculate the LCM of 58912 and 58919.

LCM(58912,58919) = 2⁵ × 7¹ × 263¹ × 19¹ × 443¹
LCM(58912,58919) = 495862304