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What is the Least Common Multiple of 28410 and 28426?

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 28410 and 28426 is 403791330.

LCM(28410,28426) = 403791330

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Least Common Multiple of 28410 and 28426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28410 and 28426, than apply into the LCM equation.

GCF(28410,28426) = 2
LCM(28410,28426) = ( 28410 × 28426) / 2
LCM(28410,28426) = 807582660 / 2
LCM(28410,28426) = 403791330

Least Common Multiple (LCM) of 28410 and 28426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28410 and 28426. First we will calculate the prime factors of 28410 and 28426.

Prime Factorization of 28410

Prime factors of 28410 are 2, 3, 5, 947. Prime factorization of 28410 in exponential form is:

28410 = 21 × 31 × 51 × 9471

Prime Factorization of 28426

Prime factors of 28426 are 2, 61, 233. Prime factorization of 28426 in exponential form is:

28426 = 21 × 611 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 28410 and 28426.

LCM(28410,28426) = 21 × 31 × 51 × 9471 × 611 × 2331
LCM(28410,28426) = 403791330