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What is the Least Common Multiple of 28452 and 28468?

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 28452 and 28468 is 202492884.

LCM(28452,28468) = 202492884

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Least Common Multiple of 28452 and 28468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28452 and 28468, than apply into the LCM equation.

GCF(28452,28468) = 4
LCM(28452,28468) = ( 28452 × 28468) / 4
LCM(28452,28468) = 809971536 / 4
LCM(28452,28468) = 202492884

Least Common Multiple (LCM) of 28452 and 28468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28452 and 28468. First we will calculate the prime factors of 28452 and 28468.

Prime Factorization of 28452

Prime factors of 28452 are 2, 3, 2371. Prime factorization of 28452 in exponential form is:

28452 = 22 × 31 × 23711

Prime Factorization of 28468

Prime factors of 28468 are 2, 11, 647. Prime factorization of 28468 in exponential form is:

28468 = 22 × 111 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 28452 and 28468.

LCM(28452,28468) = 22 × 31 × 23711 × 111 × 6471
LCM(28452,28468) = 202492884