What is the Least Common Multiple of 10614 and 10632?

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 10614 and 10632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10614 and 10632, than apply into the LCM equation.

GCF(10614,10632) = 6
LCM(10614,10632) = ( 10614 × 10632) / 6
LCM(10614,10632) = 112848048 / 6
LCM(10614,10632) = 18808008

Least Common Multiple (LCM) of 10614 and 10632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10614 and 10632. First we will calculate the prime factors of 10614 and 10632.

Prime Factorization of 10614

Prime Factorization of 10632

Now multiplying the highest exponent prime factors to calculate the LCM of 10614 and 10632.

LCM(10614,10632) = 2³ × 3¹ × 29¹ × 61¹ × 443¹
LCM(10614,10632) = 18808008