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What is the Least Common Multiple of 28426 and 28446?

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 28426 and 28446 is 404302998.

LCM(28426,28446) = 404302998

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Least Common Multiple of 28426 and 28446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28426 and 28446, than apply into the LCM equation.

GCF(28426,28446) = 2
LCM(28426,28446) = ( 28426 × 28446) / 2
LCM(28426,28446) = 808605996 / 2
LCM(28426,28446) = 404302998

Least Common Multiple (LCM) of 28426 and 28446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28426 and 28446. First we will calculate the prime factors of 28426 and 28446.

Prime Factorization of 28426

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

28426 = 21 × 611 × 2331

Prime Factorization of 28446

Prime factors of 28446 are 2, 3, 11, 431. Prime factorization of 28446 in exponential form is:

28446 = 21 × 31 × 111 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 28426 and 28446.

LCM(28426,28446) = 21 × 611 × 2331 × 31 × 111 × 4311
LCM(28426,28446) = 404302998