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What is the Least Common Multiple of 28428 and 28434?

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 28428 and 28434 is 134720292.

LCM(28428,28434) = 134720292

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Least Common Multiple of 28428 and 28434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28428 and 28434, than apply into the LCM equation.

GCF(28428,28434) = 6
LCM(28428,28434) = ( 28428 × 28434) / 6
LCM(28428,28434) = 808321752 / 6
LCM(28428,28434) = 134720292

Least Common Multiple (LCM) of 28428 and 28434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28428 and 28434. First we will calculate the prime factors of 28428 and 28434.

Prime Factorization of 28428

Prime factors of 28428 are 2, 3, 23, 103. Prime factorization of 28428 in exponential form is:

28428 = 22 × 31 × 231 × 1031

Prime Factorization of 28434

Prime factors of 28434 are 2, 3, 7, 677. Prime factorization of 28434 in exponential form is:

28434 = 21 × 31 × 71 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 28428 and 28434.

LCM(28428,28434) = 22 × 31 × 231 × 1031 × 71 × 6771
LCM(28428,28434) = 134720292