GCF and LCM Calculator Logo

What is the Least Common Multiple of 6896 and 6915?

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 6896 and 6915 is 47685840.

LCM(6896,6915) = 47685840

LCM Calculator and
and

Least Common Multiple of 6896 and 6915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6896 and 6915, than apply into the LCM equation.

GCF(6896,6915) = 1
LCM(6896,6915) = ( 6896 × 6915) / 1
LCM(6896,6915) = 47685840 / 1
LCM(6896,6915) = 47685840

Least Common Multiple (LCM) of 6896 and 6915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6896 and 6915. First we will calculate the prime factors of 6896 and 6915.

Prime Factorization of 6896

Prime factors of 6896 are 2, 431. Prime factorization of 6896 in exponential form is:

6896 = 24 × 4311

Prime Factorization of 6915

Prime factors of 6915 are 3, 5, 461. Prime factorization of 6915 in exponential form is:

6915 = 31 × 51 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 6896 and 6915.

LCM(6896,6915) = 24 × 4311 × 31 × 51 × 4611
LCM(6896,6915) = 47685840