What is the Least Common Multiple of 5614 and 5634?

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 5614 and 5634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5614 and 5634, than apply into the LCM equation.

GCF(5614,5634) = 2
LCM(5614,5634) = ( 5614 × 5634) / 2
LCM(5614,5634) = 31629276 / 2
LCM(5614,5634) = 15814638

Least Common Multiple (LCM) of 5614 and 5634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5614 and 5634. First we will calculate the prime factors of 5614 and 5634.

Prime Factorization of 5614

Prime Factorization of 5634

Now multiplying the highest exponent prime factors to calculate the LCM of 5614 and 5634.

LCM(5614,5634) = 2¹ × 7¹ × 401¹ × 3² × 313¹
LCM(5614,5634) = 15814638