What is the Least Common Multiple of 15614 and 15628?

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 15614 and 15628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15614 and 15628, than apply into the LCM equation.

GCF(15614,15628) = 2
LCM(15614,15628) = ( 15614 × 15628) / 2
LCM(15614,15628) = 244015592 / 2
LCM(15614,15628) = 122007796

Least Common Multiple (LCM) of 15614 and 15628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15614 and 15628. First we will calculate the prime factors of 15614 and 15628.

Prime Factorization of 15614

Prime Factorization of 15628

Now multiplying the highest exponent prime factors to calculate the LCM of 15614 and 15628.

LCM(15614,15628) = 2² × 37¹ × 211¹ × 3907¹
LCM(15614,15628) = 122007796