What is the Least Common Multiple of 5672 and 5686?

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 5672 and 5686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5672 and 5686, than apply into the LCM equation.

GCF(5672,5686) = 2
LCM(5672,5686) = ( 5672 × 5686) / 2
LCM(5672,5686) = 32250992 / 2
LCM(5672,5686) = 16125496

Least Common Multiple (LCM) of 5672 and 5686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5672 and 5686. First we will calculate the prime factors of 5672 and 5686.

Prime Factorization of 5672

Prime Factorization of 5686

Now multiplying the highest exponent prime factors to calculate the LCM of 5672 and 5686.

LCM(5672,5686) = 2³ × 709¹ × 2843¹
LCM(5672,5686) = 16125496