What is the Least Common Multiple of 58144 and 58159?

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 58144 and 58159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58144 and 58159, than apply into the LCM equation.

GCF(58144,58159) = 1
LCM(58144,58159) = ( 58144 × 58159) / 1
LCM(58144,58159) = 3381596896 / 1
LCM(58144,58159) = 3381596896

Least Common Multiple (LCM) of 58144 and 58159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58144 and 58159. First we will calculate the prime factors of 58144 and 58159.

Prime Factorization of 58144

Prime Factorization of 58159

Now multiplying the highest exponent prime factors to calculate the LCM of 58144 and 58159.

LCM(58144,58159) = 2⁵ × 23¹ × 79¹ × 19¹ × 3061¹
LCM(58144,58159) = 3381596896