What is the Least Common Multiple of 30512 and 30526?

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 30512 and 30526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30512 and 30526, than apply into the LCM equation.

GCF(30512,30526) = 2
LCM(30512,30526) = ( 30512 × 30526) / 2
LCM(30512,30526) = 931409312 / 2
LCM(30512,30526) = 465704656

Least Common Multiple (LCM) of 30512 and 30526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30512 and 30526. First we will calculate the prime factors of 30512 and 30526.

Prime Factorization of 30512

Prime Factorization of 30526

Now multiplying the highest exponent prime factors to calculate the LCM of 30512 and 30526.

LCM(30512,30526) = 2⁴ × 1907¹ × 15263¹
LCM(30512,30526) = 465704656