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What is the Least Common Multiple of 28494 and 28505?

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 28494 and 28505 is 812221470.

LCM(28494,28505) = 812221470

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Least Common Multiple of 28494 and 28505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28494 and 28505, than apply into the LCM equation.

GCF(28494,28505) = 1
LCM(28494,28505) = ( 28494 × 28505) / 1
LCM(28494,28505) = 812221470 / 1
LCM(28494,28505) = 812221470

Least Common Multiple (LCM) of 28494 and 28505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28494 and 28505. First we will calculate the prime factors of 28494 and 28505.

Prime Factorization of 28494

Prime factors of 28494 are 2, 3, 1583. Prime factorization of 28494 in exponential form is:

28494 = 21 × 32 × 15831

Prime Factorization of 28505

Prime factors of 28505 are 5, 5701. Prime factorization of 28505 in exponential form is:

28505 = 51 × 57011

Now multiplying the highest exponent prime factors to calculate the LCM of 28494 and 28505.

LCM(28494,28505) = 21 × 32 × 15831 × 51 × 57011
LCM(28494,28505) = 812221470