What is the Least Common Multiple of 10624 and 10638?

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 10624 and 10638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10624 and 10638, than apply into the LCM equation.

GCF(10624,10638) = 2
LCM(10624,10638) = ( 10624 × 10638) / 2
LCM(10624,10638) = 113018112 / 2
LCM(10624,10638) = 56509056

Least Common Multiple (LCM) of 10624 and 10638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10624 and 10638. First we will calculate the prime factors of 10624 and 10638.

Prime Factorization of 10624

Prime Factorization of 10638

Now multiplying the highest exponent prime factors to calculate the LCM of 10624 and 10638.

LCM(10624,10638) = 2⁷ × 83¹ × 3³ × 197¹
LCM(10624,10638) = 56509056