What is the Least Common Multiple of 30514 and 30529?

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 30514 and 30529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30514 and 30529, than apply into the LCM equation.

GCF(30514,30529) = 1
LCM(30514,30529) = ( 30514 × 30529) / 1
LCM(30514,30529) = 931561906 / 1
LCM(30514,30529) = 931561906

Least Common Multiple (LCM) of 30514 and 30529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30514 and 30529. First we will calculate the prime factors of 30514 and 30529.

Prime Factorization of 30514

Prime Factorization of 30529

Now multiplying the highest exponent prime factors to calculate the LCM of 30514 and 30529.

LCM(30514,30529) = 2¹ × 11¹ × 19¹ × 73¹ × 30529¹
LCM(30514,30529) = 931561906