What is the Least Common Multiple of 10605 and 10614?

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 10605 and 10614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10605 and 10614, than apply into the LCM equation.

GCF(10605,10614) = 3
LCM(10605,10614) = ( 10605 × 10614) / 3
LCM(10605,10614) = 112561470 / 3
LCM(10605,10614) = 37520490

Least Common Multiple (LCM) of 10605 and 10614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10605 and 10614. First we will calculate the prime factors of 10605 and 10614.

Prime Factorization of 10605

Prime Factorization of 10614

Now multiplying the highest exponent prime factors to calculate the LCM of 10605 and 10614.

LCM(10605,10614) = 3¹ × 5¹ × 7¹ × 101¹ × 2¹ × 29¹ × 61¹
LCM(10605,10614) = 37520490