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What is the Least Common Multiple of 1447 and 1461?

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 1447 and 1461 is 2114067.

LCM(1447,1461) = 2114067

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Least Common Multiple of 1447 and 1461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1447 and 1461, than apply into the LCM equation.

GCF(1447,1461) = 1
LCM(1447,1461) = ( 1447 × 1461) / 1
LCM(1447,1461) = 2114067 / 1
LCM(1447,1461) = 2114067

Least Common Multiple (LCM) of 1447 and 1461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1447 and 1461. First we will calculate the prime factors of 1447 and 1461.

Prime Factorization of 1447

Prime factors of 1447 are 1447. Prime factorization of 1447 in exponential form is:

1447 = 14471

Prime Factorization of 1461

Prime factors of 1461 are 3, 487. Prime factorization of 1461 in exponential form is:

1461 = 31 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 1447 and 1461.

LCM(1447,1461) = 14471 × 31 × 4871
LCM(1447,1461) = 2114067