What is the Least Common Multiple of 30514 and 30518?

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 30518 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 30518, than apply into the LCM equation.

GCF(30514,30518) = 2
LCM(30514,30518) = ( 30514 × 30518) / 2
LCM(30514,30518) = 931226252 / 2
LCM(30514,30518) = 465613126

Least Common Multiple (LCM) of 30514 and 30518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30514 and 30518. First we will calculate the prime factors of 30514 and 30518.

Prime Factorization of 30514

Prime Factorization of 30518

Now multiplying the highest exponent prime factors to calculate the LCM of 30514 and 30518.

LCM(30514,30518) = 2¹ × 11¹ × 19¹ × 73¹ × 15259¹
LCM(30514,30518) = 465613126