What is the Least Common Multiple of 30514 and 30533?

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 30533 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 30533, than apply into the LCM equation.

GCF(30514,30533) = 19
LCM(30514,30533) = ( 30514 × 30533) / 19
LCM(30514,30533) = 931683962 / 19
LCM(30514,30533) = 49035998

Least Common Multiple (LCM) of 30514 and 30533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30514 and 30533. First we will calculate the prime factors of 30514 and 30533.

Prime Factorization of 30514

Prime Factorization of 30533

Now multiplying the highest exponent prime factors to calculate the LCM of 30514 and 30533.

LCM(30514,30533) = 2¹ × 11¹ × 19¹ × 73¹ × 1607¹
LCM(30514,30533) = 49035998