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What is the Least Common Multiple of 28432 and 28450?

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 28432 and 28450 is 404445200.

LCM(28432,28450) = 404445200

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Least Common Multiple of 28432 and 28450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28432 and 28450, than apply into the LCM equation.

GCF(28432,28450) = 2
LCM(28432,28450) = ( 28432 × 28450) / 2
LCM(28432,28450) = 808890400 / 2
LCM(28432,28450) = 404445200

Least Common Multiple (LCM) of 28432 and 28450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28432 and 28450. First we will calculate the prime factors of 28432 and 28450.

Prime Factorization of 28432

Prime factors of 28432 are 2, 1777. Prime factorization of 28432 in exponential form is:

28432 = 24 × 17771

Prime Factorization of 28450

Prime factors of 28450 are 2, 5, 569. Prime factorization of 28450 in exponential form is:

28450 = 21 × 52 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 28432 and 28450.

LCM(28432,28450) = 24 × 17771 × 52 × 5691
LCM(28432,28450) = 404445200