What is the Least Common Multiple of 15674 and 15679?

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 15674 and 15679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15674 and 15679, than apply into the LCM equation.

GCF(15674,15679) = 1
LCM(15674,15679) = ( 15674 × 15679) / 1
LCM(15674,15679) = 245752646 / 1
LCM(15674,15679) = 245752646

Least Common Multiple (LCM) of 15674 and 15679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15674 and 15679. First we will calculate the prime factors of 15674 and 15679.

Prime Factorization of 15674

Prime Factorization of 15679

Now multiplying the highest exponent prime factors to calculate the LCM of 15674 and 15679.

LCM(15674,15679) = 2¹ × 17¹ × 461¹ × 15679¹
LCM(15674,15679) = 245752646