What is the Least Common Multiple of 10695 and 10715?

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 10695 and 10715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10695 and 10715, than apply into the LCM equation.

GCF(10695,10715) = 5
LCM(10695,10715) = ( 10695 × 10715) / 5
LCM(10695,10715) = 114596925 / 5
LCM(10695,10715) = 22919385

Least Common Multiple (LCM) of 10695 and 10715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10695 and 10715. First we will calculate the prime factors of 10695 and 10715.

Prime Factorization of 10695

Prime Factorization of 10715

Now multiplying the highest exponent prime factors to calculate the LCM of 10695 and 10715.

LCM(10695,10715) = 3¹ × 5¹ × 23¹ × 31¹ × 2143¹
LCM(10695,10715) = 22919385