GCF and LCM Calculator Logo

What is the Least Common Multiple of 62810 and 62828?

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 62810 and 62828 is 1973113340.

LCM(62810,62828) = 1973113340

LCM Calculator and
and

Least Common Multiple of 62810 and 62828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62810 and 62828, than apply into the LCM equation.

GCF(62810,62828) = 2
LCM(62810,62828) = ( 62810 × 62828) / 2
LCM(62810,62828) = 3946226680 / 2
LCM(62810,62828) = 1973113340

Least Common Multiple (LCM) of 62810 and 62828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62810 and 62828. First we will calculate the prime factors of 62810 and 62828.

Prime Factorization of 62810

Prime factors of 62810 are 2, 5, 11, 571. Prime factorization of 62810 in exponential form is:

62810 = 21 × 51 × 111 × 5711

Prime Factorization of 62828

Prime factors of 62828 are 2, 113, 139. Prime factorization of 62828 in exponential form is:

62828 = 22 × 1131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 62810 and 62828.

LCM(62810,62828) = 22 × 51 × 111 × 5711 × 1131 × 1391
LCM(62810,62828) = 1973113340