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What is the Least Common Multiple of 1254 and 1273?

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 1254 and 1273 is 84018.

LCM(1254,1273) = 84018

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Least Common Multiple of 1254 and 1273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1254 and 1273, than apply into the LCM equation.

GCF(1254,1273) = 19
LCM(1254,1273) = ( 1254 × 1273) / 19
LCM(1254,1273) = 1596342 / 19
LCM(1254,1273) = 84018

Least Common Multiple (LCM) of 1254 and 1273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1254 and 1273. First we will calculate the prime factors of 1254 and 1273.

Prime Factorization of 1254

Prime factors of 1254 are 2, 3, 11, 19. Prime factorization of 1254 in exponential form is:

1254 = 21 × 31 × 111 × 191

Prime Factorization of 1273

Prime factors of 1273 are 19, 67. Prime factorization of 1273 in exponential form is:

1273 = 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 1254 and 1273.

LCM(1254,1273) = 21 × 31 × 111 × 191 × 671
LCM(1254,1273) = 84018