GCF and LCM Calculator Logo

What is the Least Common Multiple of 10724 and 10730?

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 (LCM) of 10724 and 10730 is 57534260.

LCM(10724,10730) = 57534260

LCM Calculator and
and

Least Common Multiple of 10724 and 10730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10724 and 10730, than apply into the LCM equation.

GCF(10724,10730) = 2
LCM(10724,10730) = ( 10724 × 10730) / 2
LCM(10724,10730) = 115068520 / 2
LCM(10724,10730) = 57534260

Least Common Multiple (LCM) of 10724 and 10730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10724 and 10730. First we will calculate the prime factors of 10724 and 10730.

Prime Factorization of 10724

Prime factors of 10724 are 2, 7, 383. Prime factorization of 10724 in exponential form is:

10724 = 22 × 71 × 3831

Prime Factorization of 10730

Prime factors of 10730 are 2, 5, 29, 37. Prime factorization of 10730 in exponential form is:

10730 = 21 × 51 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 10724 and 10730.

LCM(10724,10730) = 22 × 71 × 3831 × 51 × 291 × 371
LCM(10724,10730) = 57534260