What is the Least Common Multiple of 10700 and 10709?

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 10700 and 10709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10700 and 10709, than apply into the LCM equation.

GCF(10700,10709) = 1
LCM(10700,10709) = ( 10700 × 10709) / 1
LCM(10700,10709) = 114586300 / 1
LCM(10700,10709) = 114586300

Least Common Multiple (LCM) of 10700 and 10709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10700 and 10709. First we will calculate the prime factors of 10700 and 10709.

Prime Factorization of 10700

Prime Factorization of 10709

Now multiplying the highest exponent prime factors to calculate the LCM of 10700 and 10709.

LCM(10700,10709) = 2² × 5² × 107¹ × 10709¹
LCM(10700,10709) = 114586300