GCF and LCM Calculator Logo

What is the Least Common Multiple of 7957 and 7969?

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 7957 and 7969 is 63409333.

LCM(7957,7969) = 63409333

LCM Calculator and
and

Least Common Multiple of 7957 and 7969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7957 and 7969, than apply into the LCM equation.

GCF(7957,7969) = 1
LCM(7957,7969) = ( 7957 × 7969) / 1
LCM(7957,7969) = 63409333 / 1
LCM(7957,7969) = 63409333

Least Common Multiple (LCM) of 7957 and 7969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7957 and 7969. First we will calculate the prime factors of 7957 and 7969.

Prime Factorization of 7957

Prime factors of 7957 are 73, 109. Prime factorization of 7957 in exponential form is:

7957 = 731 × 1091

Prime Factorization of 7969

Prime factors of 7969 are 13, 613. Prime factorization of 7969 in exponential form is:

7969 = 131 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 7957 and 7969.

LCM(7957,7969) = 731 × 1091 × 131 × 6131
LCM(7957,7969) = 63409333