GCF and LCM Calculator Logo

What is the Least Common Multiple of 78611 and 78615?

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 78611 and 78615 is 6180003765.

LCM(78611,78615) = 6180003765

LCM Calculator and
and

Least Common Multiple of 78611 and 78615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78611 and 78615, than apply into the LCM equation.

GCF(78611,78615) = 1
LCM(78611,78615) = ( 78611 × 78615) / 1
LCM(78611,78615) = 6180003765 / 1
LCM(78611,78615) = 6180003765

Least Common Multiple (LCM) of 78611 and 78615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78611 and 78615. First we will calculate the prime factors of 78611 and 78615.

Prime Factorization of 78611

Prime factors of 78611 are 13, 6047. Prime factorization of 78611 in exponential form is:

78611 = 131 × 60471

Prime Factorization of 78615

Prime factors of 78615 are 3, 5, 1747. Prime factorization of 78615 in exponential form is:

78615 = 32 × 51 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 78611 and 78615.

LCM(78611,78615) = 131 × 60471 × 32 × 51 × 17471
LCM(78611,78615) = 6180003765