GCF and LCM Calculator Logo

What is the Least Common Multiple of 5951 and 5968?

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 5951 and 5968 is 35515568.

LCM(5951,5968) = 35515568

LCM Calculator and
and

Least Common Multiple of 5951 and 5968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5951 and 5968, than apply into the LCM equation.

GCF(5951,5968) = 1
LCM(5951,5968) = ( 5951 × 5968) / 1
LCM(5951,5968) = 35515568 / 1
LCM(5951,5968) = 35515568

Least Common Multiple (LCM) of 5951 and 5968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5951 and 5968. First we will calculate the prime factors of 5951 and 5968.

Prime Factorization of 5951

Prime factors of 5951 are 11, 541. Prime factorization of 5951 in exponential form is:

5951 = 111 × 5411

Prime Factorization of 5968

Prime factors of 5968 are 2, 373. Prime factorization of 5968 in exponential form is:

5968 = 24 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 5951 and 5968.

LCM(5951,5968) = 111 × 5411 × 24 × 3731
LCM(5951,5968) = 35515568