What is the Least Common Multiple of 15694 and 15713?

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 15694 and 15713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15694 and 15713, than apply into the LCM equation.

GCF(15694,15713) = 19
LCM(15694,15713) = ( 15694 × 15713) / 19
LCM(15694,15713) = 246599822 / 19
LCM(15694,15713) = 12978938

Least Common Multiple (LCM) of 15694 and 15713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15694 and 15713. First we will calculate the prime factors of 15694 and 15713.

Prime Factorization of 15694

Prime Factorization of 15713

Now multiplying the highest exponent prime factors to calculate the LCM of 15694 and 15713.

LCM(15694,15713) = 2¹ × 7¹ × 19¹ × 59¹ × 827¹
LCM(15694,15713) = 12978938