What is the Least Common Multiple of 10647 and 10662?

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 10647 and 10662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10647 and 10662, than apply into the LCM equation.

GCF(10647,10662) = 3
LCM(10647,10662) = ( 10647 × 10662) / 3
LCM(10647,10662) = 113518314 / 3
LCM(10647,10662) = 37839438

Least Common Multiple (LCM) of 10647 and 10662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10647 and 10662. First we will calculate the prime factors of 10647 and 10662.

Prime Factorization of 10647

Prime Factorization of 10662

Now multiplying the highest exponent prime factors to calculate the LCM of 10647 and 10662.

LCM(10647,10662) = 3² × 7¹ × 13² × 2¹ × 1777¹
LCM(10647,10662) = 37839438