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What is the Least Common Multiple of 28709 and 28720?

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 28709 and 28720 is 824522480.

LCM(28709,28720) = 824522480

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Least Common Multiple of 28709 and 28720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28709 and 28720, than apply into the LCM equation.

GCF(28709,28720) = 1
LCM(28709,28720) = ( 28709 × 28720) / 1
LCM(28709,28720) = 824522480 / 1
LCM(28709,28720) = 824522480

Least Common Multiple (LCM) of 28709 and 28720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28709 and 28720. First we will calculate the prime factors of 28709 and 28720.

Prime Factorization of 28709

Prime factors of 28709 are 19, 1511. Prime factorization of 28709 in exponential form is:

28709 = 191 × 15111

Prime Factorization of 28720

Prime factors of 28720 are 2, 5, 359. Prime factorization of 28720 in exponential form is:

28720 = 24 × 51 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 28709 and 28720.

LCM(28709,28720) = 191 × 15111 × 24 × 51 × 3591
LCM(28709,28720) = 824522480