GCF and LCM Calculator Logo

What is the Least Common Multiple of 2950 and 2961?

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 2950 and 2961 is 8734950.

LCM(2950,2961) = 8734950

LCM Calculator and
and

Least Common Multiple of 2950 and 2961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2950 and 2961, than apply into the LCM equation.

GCF(2950,2961) = 1
LCM(2950,2961) = ( 2950 × 2961) / 1
LCM(2950,2961) = 8734950 / 1
LCM(2950,2961) = 8734950

Least Common Multiple (LCM) of 2950 and 2961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2950 and 2961. First we will calculate the prime factors of 2950 and 2961.

Prime Factorization of 2950

Prime factors of 2950 are 2, 5, 59. Prime factorization of 2950 in exponential form is:

2950 = 21 × 52 × 591

Prime Factorization of 2961

Prime factors of 2961 are 3, 7, 47. Prime factorization of 2961 in exponential form is:

2961 = 32 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2950 and 2961.

LCM(2950,2961) = 21 × 52 × 591 × 32 × 71 × 471
LCM(2950,2961) = 8734950