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What is the Least Common Multiple of 1284 and 1295?

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 1284 and 1295 is 1662780.

LCM(1284,1295) = 1662780

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Least Common Multiple of 1284 and 1295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1284 and 1295, than apply into the LCM equation.

GCF(1284,1295) = 1
LCM(1284,1295) = ( 1284 × 1295) / 1
LCM(1284,1295) = 1662780 / 1
LCM(1284,1295) = 1662780

Least Common Multiple (LCM) of 1284 and 1295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1284 and 1295. First we will calculate the prime factors of 1284 and 1295.

Prime Factorization of 1284

Prime factors of 1284 are 2, 3, 107. Prime factorization of 1284 in exponential form is:

1284 = 22 × 31 × 1071

Prime Factorization of 1295

Prime factors of 1295 are 5, 7, 37. Prime factorization of 1295 in exponential form is:

1295 = 51 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 1284 and 1295.

LCM(1284,1295) = 22 × 31 × 1071 × 51 × 71 × 371
LCM(1284,1295) = 1662780