What is the Least Common Multiple of 10603 and 10621?

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 10603 and 10621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10603 and 10621, than apply into the LCM equation.

GCF(10603,10621) = 1
LCM(10603,10621) = ( 10603 × 10621) / 1
LCM(10603,10621) = 112614463 / 1
LCM(10603,10621) = 112614463

Least Common Multiple (LCM) of 10603 and 10621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10603 and 10621. First we will calculate the prime factors of 10603 and 10621.

Prime Factorization of 10603

Prime Factorization of 10621

Now multiplying the highest exponent prime factors to calculate the LCM of 10603 and 10621.

LCM(10603,10621) = 23¹ × 461¹ × 13¹ × 19¹ × 43¹
LCM(10603,10621) = 112614463