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What is the Least Common Multiple of 51432 and 51450?

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 51432 and 51450 is 441029400.

LCM(51432,51450) = 441029400

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Least Common Multiple of 51432 and 51450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51432 and 51450, than apply into the LCM equation.

GCF(51432,51450) = 6
LCM(51432,51450) = ( 51432 × 51450) / 6
LCM(51432,51450) = 2646176400 / 6
LCM(51432,51450) = 441029400

Least Common Multiple (LCM) of 51432 and 51450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51432 and 51450. First we will calculate the prime factors of 51432 and 51450.

Prime Factorization of 51432

Prime factors of 51432 are 2, 3, 2143. Prime factorization of 51432 in exponential form is:

51432 = 23 × 31 × 21431

Prime Factorization of 51450

Prime factors of 51450 are 2, 3, 5, 7. Prime factorization of 51450 in exponential form is:

51450 = 21 × 31 × 52 × 73

Now multiplying the highest exponent prime factors to calculate the LCM of 51432 and 51450.

LCM(51432,51450) = 23 × 31 × 21431 × 52 × 73
LCM(51432,51450) = 441029400