What is the Least Common Multiple of 10730 and 10747?

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 10730 and 10747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10730 and 10747, than apply into the LCM equation.

GCF(10730,10747) = 1
LCM(10730,10747) = ( 10730 × 10747) / 1
LCM(10730,10747) = 115315310 / 1
LCM(10730,10747) = 115315310

Least Common Multiple (LCM) of 10730 and 10747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10730 and 10747. First we will calculate the prime factors of 10730 and 10747.

Prime Factorization of 10730

Prime Factorization of 10747

Now multiplying the highest exponent prime factors to calculate the LCM of 10730 and 10747.

LCM(10730,10747) = 2¹ × 5¹ × 29¹ × 37¹ × 11¹ × 977¹
LCM(10730,10747) = 115315310