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What is the Least Common Multiple of 2933 and 2944?

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 2933 and 2944 is 8634752.

LCM(2933,2944) = 8634752

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Least Common Multiple of 2933 and 2944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2933 and 2944, than apply into the LCM equation.

GCF(2933,2944) = 1
LCM(2933,2944) = ( 2933 × 2944) / 1
LCM(2933,2944) = 8634752 / 1
LCM(2933,2944) = 8634752

Least Common Multiple (LCM) of 2933 and 2944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2933 and 2944. First we will calculate the prime factors of 2933 and 2944.

Prime Factorization of 2933

Prime factors of 2933 are 7, 419. Prime factorization of 2933 in exponential form is:

2933 = 71 × 4191

Prime Factorization of 2944

Prime factors of 2944 are 2, 23. Prime factorization of 2944 in exponential form is:

2944 = 27 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 2933 and 2944.

LCM(2933,2944) = 71 × 4191 × 27 × 231
LCM(2933,2944) = 8634752