GCF and LCM Calculator Logo

What is the Least Common Multiple of 2950 and 2956?

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 2956 is 4360100.

LCM(2950,2956) = 4360100

LCM Calculator and
and

Least Common Multiple of 2950 and 2956 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 2956, than apply into the LCM equation.

GCF(2950,2956) = 2
LCM(2950,2956) = ( 2950 × 2956) / 2
LCM(2950,2956) = 8720200 / 2
LCM(2950,2956) = 4360100

Least Common Multiple (LCM) of 2950 and 2956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2950 and 2956. First we will calculate the prime factors of 2950 and 2956.

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 2956

Prime factors of 2956 are 2, 739. Prime factorization of 2956 in exponential form is:

2956 = 22 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 2950 and 2956.

LCM(2950,2956) = 22 × 52 × 591 × 7391
LCM(2950,2956) = 4360100