GCF and LCM Calculator Logo

What is the Least Common Multiple of 6901 and 6910?

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 6901 and 6910 is 47685910.

LCM(6901,6910) = 47685910

LCM Calculator and
and

Least Common Multiple of 6901 and 6910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6901 and 6910, than apply into the LCM equation.

GCF(6901,6910) = 1
LCM(6901,6910) = ( 6901 × 6910) / 1
LCM(6901,6910) = 47685910 / 1
LCM(6901,6910) = 47685910

Least Common Multiple (LCM) of 6901 and 6910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6901 and 6910. First we will calculate the prime factors of 6901 and 6910.

Prime Factorization of 6901

Prime factors of 6901 are 67, 103. Prime factorization of 6901 in exponential form is:

6901 = 671 × 1031

Prime Factorization of 6910

Prime factors of 6910 are 2, 5, 691. Prime factorization of 6910 in exponential form is:

6910 = 21 × 51 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 6901 and 6910.

LCM(6901,6910) = 671 × 1031 × 21 × 51 × 6911
LCM(6901,6910) = 47685910