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What is the Least Common Multiple of 28755 and 28762?

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 28755 and 28762 is 827051310.

LCM(28755,28762) = 827051310

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Least Common Multiple of 28755 and 28762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28755 and 28762, than apply into the LCM equation.

GCF(28755,28762) = 1
LCM(28755,28762) = ( 28755 × 28762) / 1
LCM(28755,28762) = 827051310 / 1
LCM(28755,28762) = 827051310

Least Common Multiple (LCM) of 28755 and 28762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28755 and 28762. First we will calculate the prime factors of 28755 and 28762.

Prime Factorization of 28755

Prime factors of 28755 are 3, 5, 71. Prime factorization of 28755 in exponential form is:

28755 = 34 × 51 × 711

Prime Factorization of 28762

Prime factors of 28762 are 2, 73, 197. Prime factorization of 28762 in exponential form is:

28762 = 21 × 731 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 28755 and 28762.

LCM(28755,28762) = 34 × 51 × 711 × 21 × 731 × 1971
LCM(28755,28762) = 827051310