What is the Least Common Multiple of 58565 and 58578?

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 58565 and 58578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58565 and 58578, than apply into the LCM equation.

GCF(58565,58578) = 13
LCM(58565,58578) = ( 58565 × 58578) / 13
LCM(58565,58578) = 3430620570 / 13
LCM(58565,58578) = 263893890

Least Common Multiple (LCM) of 58565 and 58578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58565 and 58578. First we will calculate the prime factors of 58565 and 58578.

Prime Factorization of 58565

Prime Factorization of 58578

Now multiplying the highest exponent prime factors to calculate the LCM of 58565 and 58578.

LCM(58565,58578) = 5¹ × 13¹ × 17¹ × 53¹ × 2¹ × 3¹ × 751¹
LCM(58565,58578) = 263893890