What is the Least Common Multiple of 15600 and 15614?

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 15600 and 15614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15600 and 15614, than apply into the LCM equation.

GCF(15600,15614) = 2
LCM(15600,15614) = ( 15600 × 15614) / 2
LCM(15600,15614) = 243578400 / 2
LCM(15600,15614) = 121789200

Least Common Multiple (LCM) of 15600 and 15614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15600 and 15614. First we will calculate the prime factors of 15600 and 15614.

Prime Factorization of 15600

Prime Factorization of 15614

Now multiplying the highest exponent prime factors to calculate the LCM of 15600 and 15614.

LCM(15600,15614) = 2⁴ × 3¹ × 5² × 13¹ × 37¹ × 211¹
LCM(15600,15614) = 121789200