What is the Least Common Multiple of 30604 and 30614?

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 30604 and 30614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30604 and 30614, than apply into the LCM equation.

GCF(30604,30614) = 2
LCM(30604,30614) = ( 30604 × 30614) / 2
LCM(30604,30614) = 936910856 / 2
LCM(30604,30614) = 468455428

Least Common Multiple (LCM) of 30604 and 30614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30604 and 30614. First we will calculate the prime factors of 30604 and 30614.

Prime Factorization of 30604

Prime Factorization of 30614

Now multiplying the highest exponent prime factors to calculate the LCM of 30604 and 30614.

LCM(30604,30614) = 2² × 7¹ × 1093¹ × 15307¹
LCM(30604,30614) = 468455428