What is the Least Common Multiple of 10675 and 10682?

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 10675 and 10682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10675 and 10682, than apply into the LCM equation.

GCF(10675,10682) = 7
LCM(10675,10682) = ( 10675 × 10682) / 7
LCM(10675,10682) = 114030350 / 7
LCM(10675,10682) = 16290050

Least Common Multiple (LCM) of 10675 and 10682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10675 and 10682. First we will calculate the prime factors of 10675 and 10682.

Prime Factorization of 10675

Prime Factorization of 10682

Now multiplying the highest exponent prime factors to calculate the LCM of 10675 and 10682.

LCM(10675,10682) = 5² × 7² × 61¹ × 2¹ × 109¹
LCM(10675,10682) = 16290050