GCF and LCM Calculator Logo

What is the Least Common Multiple of 961 and 974?

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 961 and 974 is 936014.

LCM(961,974) = 936014

LCM Calculator and
and

Least Common Multiple of 961 and 974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 961 and 974, than apply into the LCM equation.

GCF(961,974) = 1
LCM(961,974) = ( 961 × 974) / 1
LCM(961,974) = 936014 / 1
LCM(961,974) = 936014

Least Common Multiple (LCM) of 961 and 974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 961 and 974. First we will calculate the prime factors of 961 and 974.

Prime Factorization of 961

Prime factors of 961 are 31. Prime factorization of 961 in exponential form is:

961 = 312

Prime Factorization of 974

Prime factors of 974 are 2, 487. Prime factorization of 974 in exponential form is:

974 = 21 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 961 and 974.

LCM(961,974) = 312 × 21 × 4871
LCM(961,974) = 936014