What is the Least Common Multiple of 10638 and 10656?

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 10638 and 10656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10638 and 10656, than apply into the LCM equation.

GCF(10638,10656) = 18
LCM(10638,10656) = ( 10638 × 10656) / 18
LCM(10638,10656) = 113358528 / 18
LCM(10638,10656) = 6297696

Least Common Multiple (LCM) of 10638 and 10656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10638 and 10656. First we will calculate the prime factors of 10638 and 10656.

Prime Factorization of 10638

Prime Factorization of 10656

Now multiplying the highest exponent prime factors to calculate the LCM of 10638 and 10656.

LCM(10638,10656) = 2⁵ × 3³ × 197¹ × 37¹
LCM(10638,10656) = 6297696