GCF and LCM Calculator Logo

What is the Least Common Multiple of 7954 and 7958?

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 7954 and 7958 is 31648966.

LCM(7954,7958) = 31648966

LCM Calculator and
and

Least Common Multiple of 7954 and 7958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7954 and 7958, than apply into the LCM equation.

GCF(7954,7958) = 2
LCM(7954,7958) = ( 7954 × 7958) / 2
LCM(7954,7958) = 63297932 / 2
LCM(7954,7958) = 31648966

Least Common Multiple (LCM) of 7954 and 7958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7954 and 7958. First we will calculate the prime factors of 7954 and 7958.

Prime Factorization of 7954

Prime factors of 7954 are 2, 41, 97. Prime factorization of 7954 in exponential form is:

7954 = 21 × 411 × 971

Prime Factorization of 7958

Prime factors of 7958 are 2, 23, 173. Prime factorization of 7958 in exponential form is:

7958 = 21 × 231 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 7954 and 7958.

LCM(7954,7958) = 21 × 411 × 971 × 231 × 1731
LCM(7954,7958) = 31648966