What is the Least Common Multiple of 15058 and 15064?

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 15058 and 15064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15058 and 15064, than apply into the LCM equation.

GCF(15058,15064) = 2
LCM(15058,15064) = ( 15058 × 15064) / 2
LCM(15058,15064) = 226833712 / 2
LCM(15058,15064) = 113416856

Least Common Multiple (LCM) of 15058 and 15064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15058 and 15064. First we will calculate the prime factors of 15058 and 15064.

Prime Factorization of 15058

Prime Factorization of 15064

Now multiplying the highest exponent prime factors to calculate the LCM of 15058 and 15064.

LCM(15058,15064) = 2³ × 7529¹ × 7¹ × 269¹
LCM(15058,15064) = 113416856