What is the Least Common Multiple of 10628 and 10634?

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 10628 and 10634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10628 and 10634, than apply into the LCM equation.

GCF(10628,10634) = 2
LCM(10628,10634) = ( 10628 × 10634) / 2
LCM(10628,10634) = 113018152 / 2
LCM(10628,10634) = 56509076

Least Common Multiple (LCM) of 10628 and 10634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10628 and 10634. First we will calculate the prime factors of 10628 and 10634.

Prime Factorization of 10628

Prime Factorization of 10634

Now multiplying the highest exponent prime factors to calculate the LCM of 10628 and 10634.

LCM(10628,10634) = 2² × 2657¹ × 13¹ × 409¹
LCM(10628,10634) = 56509076