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What is the Least Common Multiple of 36873 and 36888?

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 36873 and 36888 is 453390408.

LCM(36873,36888) = 453390408

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Least Common Multiple of 36873 and 36888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36873 and 36888, than apply into the LCM equation.

GCF(36873,36888) = 3
LCM(36873,36888) = ( 36873 × 36888) / 3
LCM(36873,36888) = 1360171224 / 3
LCM(36873,36888) = 453390408

Least Common Multiple (LCM) of 36873 and 36888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36873 and 36888. First we will calculate the prime factors of 36873 and 36888.

Prime Factorization of 36873

Prime factors of 36873 are 3, 17, 241. Prime factorization of 36873 in exponential form is:

36873 = 32 × 171 × 2411

Prime Factorization of 36888

Prime factors of 36888 are 2, 3, 29, 53. Prime factorization of 36888 in exponential form is:

36888 = 23 × 31 × 291 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 36873 and 36888.

LCM(36873,36888) = 32 × 171 × 2411 × 23 × 291 × 531
LCM(36873,36888) = 453390408