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What is the Least Common Multiple of 28772 and 28788?

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 28772 and 28788 is 207072084.

LCM(28772,28788) = 207072084

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Least Common Multiple of 28772 and 28788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28772 and 28788, than apply into the LCM equation.

GCF(28772,28788) = 4
LCM(28772,28788) = ( 28772 × 28788) / 4
LCM(28772,28788) = 828288336 / 4
LCM(28772,28788) = 207072084

Least Common Multiple (LCM) of 28772 and 28788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28772 and 28788. First we will calculate the prime factors of 28772 and 28788.

Prime Factorization of 28772

Prime factors of 28772 are 2, 7193. Prime factorization of 28772 in exponential form is:

28772 = 22 × 71931

Prime Factorization of 28788

Prime factors of 28788 are 2, 3, 2399. Prime factorization of 28788 in exponential form is:

28788 = 22 × 31 × 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 28772 and 28788.

LCM(28772,28788) = 22 × 71931 × 31 × 23991
LCM(28772,28788) = 207072084