GCF and LCM Calculator Logo

What is the Least Common Multiple of 7812 and 7820?

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 7812 and 7820 is 15272460.

LCM(7812,7820) = 15272460

LCM Calculator and
and

Least Common Multiple of 7812 and 7820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7812 and 7820, than apply into the LCM equation.

GCF(7812,7820) = 4
LCM(7812,7820) = ( 7812 × 7820) / 4
LCM(7812,7820) = 61089840 / 4
LCM(7812,7820) = 15272460

Least Common Multiple (LCM) of 7812 and 7820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7812 and 7820. First we will calculate the prime factors of 7812 and 7820.

Prime Factorization of 7812

Prime factors of 7812 are 2, 3, 7, 31. Prime factorization of 7812 in exponential form is:

7812 = 22 × 32 × 71 × 311

Prime Factorization of 7820

Prime factors of 7820 are 2, 5, 17, 23. Prime factorization of 7820 in exponential form is:

7820 = 22 × 51 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 7812 and 7820.

LCM(7812,7820) = 22 × 32 × 71 × 311 × 51 × 171 × 231
LCM(7812,7820) = 15272460