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What is the Least Common Multiple of 1415 and 1423?

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 1415 and 1423 is 2013545.

LCM(1415,1423) = 2013545

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Least Common Multiple of 1415 and 1423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1415 and 1423, than apply into the LCM equation.

GCF(1415,1423) = 1
LCM(1415,1423) = ( 1415 × 1423) / 1
LCM(1415,1423) = 2013545 / 1
LCM(1415,1423) = 2013545

Least Common Multiple (LCM) of 1415 and 1423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1415 and 1423. First we will calculate the prime factors of 1415 and 1423.

Prime Factorization of 1415

Prime factors of 1415 are 5, 283. Prime factorization of 1415 in exponential form is:

1415 = 51 × 2831

Prime Factorization of 1423

Prime factors of 1423 are 1423. Prime factorization of 1423 in exponential form is:

1423 = 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 1415 and 1423.

LCM(1415,1423) = 51 × 2831 × 14231
LCM(1415,1423) = 2013545