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What is the Least Common Multiple of 8432 and 8450?

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 8432 and 8450 is 35625200.

LCM(8432,8450) = 35625200

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Least Common Multiple of 8432 and 8450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8432 and 8450, than apply into the LCM equation.

GCF(8432,8450) = 2
LCM(8432,8450) = ( 8432 × 8450) / 2
LCM(8432,8450) = 71250400 / 2
LCM(8432,8450) = 35625200

Least Common Multiple (LCM) of 8432 and 8450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8432 and 8450. First we will calculate the prime factors of 8432 and 8450.

Prime Factorization of 8432

Prime factors of 8432 are 2, 17, 31. Prime factorization of 8432 in exponential form is:

8432 = 24 × 171 × 311

Prime Factorization of 8450

Prime factors of 8450 are 2, 5, 13. Prime factorization of 8450 in exponential form is:

8450 = 21 × 52 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 8432 and 8450.

LCM(8432,8450) = 24 × 171 × 311 × 52 × 132
LCM(8432,8450) = 35625200