What is the Least Common Multiple of 16708 and 16726?

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 16708 and 16726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16708 and 16726, than apply into the LCM equation.

GCF(16708,16726) = 2
LCM(16708,16726) = ( 16708 × 16726) / 2
LCM(16708,16726) = 279458008 / 2
LCM(16708,16726) = 139729004

Least Common Multiple (LCM) of 16708 and 16726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16708 and 16726. First we will calculate the prime factors of 16708 and 16726.

Prime Factorization of 16708

Prime Factorization of 16726

Now multiplying the highest exponent prime factors to calculate the LCM of 16708 and 16726.

LCM(16708,16726) = 2² × 4177¹ × 8363¹
LCM(16708,16726) = 139729004