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What is the Least Common Multiple of 2928 and 2932?

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 2928 and 2932 is 2146224.

LCM(2928,2932) = 2146224

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Least Common Multiple of 2928 and 2932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2928 and 2932, than apply into the LCM equation.

GCF(2928,2932) = 4
LCM(2928,2932) = ( 2928 × 2932) / 4
LCM(2928,2932) = 8584896 / 4
LCM(2928,2932) = 2146224

Least Common Multiple (LCM) of 2928 and 2932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2928 and 2932. First we will calculate the prime factors of 2928 and 2932.

Prime Factorization of 2928

Prime factors of 2928 are 2, 3, 61. Prime factorization of 2928 in exponential form is:

2928 = 24 × 31 × 611

Prime Factorization of 2932

Prime factors of 2932 are 2, 733. Prime factorization of 2932 in exponential form is:

2932 = 22 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 2928 and 2932.

LCM(2928,2932) = 24 × 31 × 611 × 7331
LCM(2928,2932) = 2146224