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What is the Least Common Multiple of 28007 and 28021?

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 28007 and 28021 is 112112021.

LCM(28007,28021) = 112112021

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Least Common Multiple of 28007 and 28021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28007 and 28021, than apply into the LCM equation.

GCF(28007,28021) = 7
LCM(28007,28021) = ( 28007 × 28021) / 7
LCM(28007,28021) = 784784147 / 7
LCM(28007,28021) = 112112021

Least Common Multiple (LCM) of 28007 and 28021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28007 and 28021. First we will calculate the prime factors of 28007 and 28021.

Prime Factorization of 28007

Prime factors of 28007 are 7, 4001. Prime factorization of 28007 in exponential form is:

28007 = 71 × 40011

Prime Factorization of 28021

Prime factors of 28021 are 7, 4003. Prime factorization of 28021 in exponential form is:

28021 = 71 × 40031

Now multiplying the highest exponent prime factors to calculate the LCM of 28007 and 28021.

LCM(28007,28021) = 71 × 40011 × 40031
LCM(28007,28021) = 112112021