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What is the Least Common Multiple of 28415 and 28430?

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 28415 and 28430 is 161567690.

LCM(28415,28430) = 161567690

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Least Common Multiple of 28415 and 28430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28415 and 28430, than apply into the LCM equation.

GCF(28415,28430) = 5
LCM(28415,28430) = ( 28415 × 28430) / 5
LCM(28415,28430) = 807838450 / 5
LCM(28415,28430) = 161567690

Least Common Multiple (LCM) of 28415 and 28430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28415 and 28430. First we will calculate the prime factors of 28415 and 28430.

Prime Factorization of 28415

Prime factors of 28415 are 5, 5683. Prime factorization of 28415 in exponential form is:

28415 = 51 × 56831

Prime Factorization of 28430

Prime factors of 28430 are 2, 5, 2843. Prime factorization of 28430 in exponential form is:

28430 = 21 × 51 × 28431

Now multiplying the highest exponent prime factors to calculate the LCM of 28415 and 28430.

LCM(28415,28430) = 51 × 56831 × 21 × 28431
LCM(28415,28430) = 161567690