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What is the Least Common Multiple of 28774 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 28774 and 28788 is 414172956.

LCM(28774,28788) = 414172956

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Least Common Multiple of 28774 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 28774 and 28788, than apply into the LCM equation.

GCF(28774,28788) = 2
LCM(28774,28788) = ( 28774 × 28788) / 2
LCM(28774,28788) = 828345912 / 2
LCM(28774,28788) = 414172956

Least Common Multiple (LCM) of 28774 and 28788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28774 and 28788. First we will calculate the prime factors of 28774 and 28788.

Prime Factorization of 28774

Prime factors of 28774 are 2, 14387. Prime factorization of 28774 in exponential form is:

28774 = 21 × 143871

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 28774 and 28788.

LCM(28774,28788) = 22 × 143871 × 31 × 23991
LCM(28774,28788) = 414172956