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What is the Least Common Multiple of 1213 and 1228?

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 1213 and 1228 is 1489564.

LCM(1213,1228) = 1489564

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Least Common Multiple of 1213 and 1228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1213 and 1228, than apply into the LCM equation.

GCF(1213,1228) = 1
LCM(1213,1228) = ( 1213 × 1228) / 1
LCM(1213,1228) = 1489564 / 1
LCM(1213,1228) = 1489564

Least Common Multiple (LCM) of 1213 and 1228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1213 and 1228. First we will calculate the prime factors of 1213 and 1228.

Prime Factorization of 1213

Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:

1213 = 12131

Prime Factorization of 1228

Prime factors of 1228 are 2, 307. Prime factorization of 1228 in exponential form is:

1228 = 22 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 1213 and 1228.

LCM(1213,1228) = 12131 × 22 × 3071
LCM(1213,1228) = 1489564