What is the Least Common Multiple of 30614 and 30634?

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 30614 and 30634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30614 and 30634, than apply into the LCM equation.

GCF(30614,30634) = 2
LCM(30614,30634) = ( 30614 × 30634) / 2
LCM(30614,30634) = 937829276 / 2
LCM(30614,30634) = 468914638

Least Common Multiple (LCM) of 30614 and 30634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30614 and 30634. First we will calculate the prime factors of 30614 and 30634.

Prime Factorization of 30614

Prime Factorization of 30634

Now multiplying the highest exponent prime factors to calculate the LCM of 30614 and 30634.

LCM(30614,30634) = 2¹ × 15307¹ × 17² × 53¹
LCM(30614,30634) = 468914638