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What is the Least Common Multiple of 28461 and 28476?

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 28461 and 28476 is 270151812.

LCM(28461,28476) = 270151812

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Least Common Multiple of 28461 and 28476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28461 and 28476, than apply into the LCM equation.

GCF(28461,28476) = 3
LCM(28461,28476) = ( 28461 × 28476) / 3
LCM(28461,28476) = 810455436 / 3
LCM(28461,28476) = 270151812

Least Common Multiple (LCM) of 28461 and 28476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28461 and 28476. First we will calculate the prime factors of 28461 and 28476.

Prime Factorization of 28461

Prime factors of 28461 are 3, 53, 179. Prime factorization of 28461 in exponential form is:

28461 = 31 × 531 × 1791

Prime Factorization of 28476

Prime factors of 28476 are 2, 3, 7, 113. Prime factorization of 28476 in exponential form is:

28476 = 22 × 32 × 71 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 28461 and 28476.

LCM(28461,28476) = 32 × 531 × 1791 × 22 × 71 × 1131
LCM(28461,28476) = 270151812