GCF and LCM Calculator Logo

What is the Least Common Multiple of 10954 and 10958?

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 10954 and 10958 is 60016966.

LCM(10954,10958) = 60016966

LCM Calculator and
and

Least Common Multiple of 10954 and 10958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10954 and 10958, than apply into the LCM equation.

GCF(10954,10958) = 2
LCM(10954,10958) = ( 10954 × 10958) / 2
LCM(10954,10958) = 120033932 / 2
LCM(10954,10958) = 60016966

Least Common Multiple (LCM) of 10954 and 10958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10954 and 10958. First we will calculate the prime factors of 10954 and 10958.

Prime Factorization of 10954

Prime factors of 10954 are 2, 5477. Prime factorization of 10954 in exponential form is:

10954 = 21 × 54771

Prime Factorization of 10958

Prime factors of 10958 are 2, 5479. Prime factorization of 10958 in exponential form is:

10958 = 21 × 54791

Now multiplying the highest exponent prime factors to calculate the LCM of 10954 and 10958.

LCM(10954,10958) = 21 × 54771 × 54791
LCM(10954,10958) = 60016966