What is the Least Common Multiple of 57824 and 57830?

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 57824 and 57830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57824 and 57830, than apply into the LCM equation.

GCF(57824,57830) = 2
LCM(57824,57830) = ( 57824 × 57830) / 2
LCM(57824,57830) = 3343961920 / 2
LCM(57824,57830) = 1671980960

Least Common Multiple (LCM) of 57824 and 57830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57824 and 57830. First we will calculate the prime factors of 57824 and 57830.

Prime Factorization of 57824

Prime Factorization of 57830

Now multiplying the highest exponent prime factors to calculate the LCM of 57824 and 57830.

LCM(57824,57830) = 2⁵ × 13¹ × 139¹ × 5¹ × 5783¹
LCM(57824,57830) = 1671980960