What is the Least Common Multiple of 10638 and 10645?

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 10645 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 10645, than apply into the LCM equation.

GCF(10638,10645) = 1
LCM(10638,10645) = ( 10638 × 10645) / 1
LCM(10638,10645) = 113241510 / 1
LCM(10638,10645) = 113241510

Least Common Multiple (LCM) of 10638 and 10645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10638 and 10645. First we will calculate the prime factors of 10638 and 10645.

Prime Factorization of 10638

Prime Factorization of 10645

Now multiplying the highest exponent prime factors to calculate the LCM of 10638 and 10645.

LCM(10638,10645) = 2¹ × 3³ × 197¹ × 5¹ × 2129¹
LCM(10638,10645) = 113241510