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What is the Least Common Multiple of 28471 and 28480?

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 28471 and 28480 is 810854080.

LCM(28471,28480) = 810854080

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Least Common Multiple of 28471 and 28480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28471 and 28480, than apply into the LCM equation.

GCF(28471,28480) = 1
LCM(28471,28480) = ( 28471 × 28480) / 1
LCM(28471,28480) = 810854080 / 1
LCM(28471,28480) = 810854080

Least Common Multiple (LCM) of 28471 and 28480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28471 and 28480. First we will calculate the prime factors of 28471 and 28480.

Prime Factorization of 28471

Prime factors of 28471 are 71, 401. Prime factorization of 28471 in exponential form is:

28471 = 711 × 4011

Prime Factorization of 28480

Prime factors of 28480 are 2, 5, 89. Prime factorization of 28480 in exponential form is:

28480 = 26 × 51 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 28471 and 28480.

LCM(28471,28480) = 711 × 4011 × 26 × 51 × 891
LCM(28471,28480) = 810854080