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What is the Least Common Multiple of 1222 and 1237?

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 1222 and 1237 is 1511614.

LCM(1222,1237) = 1511614

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Least Common Multiple of 1222 and 1237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1222 and 1237, than apply into the LCM equation.

GCF(1222,1237) = 1
LCM(1222,1237) = ( 1222 × 1237) / 1
LCM(1222,1237) = 1511614 / 1
LCM(1222,1237) = 1511614

Least Common Multiple (LCM) of 1222 and 1237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1222 and 1237. First we will calculate the prime factors of 1222 and 1237.

Prime Factorization of 1222

Prime factors of 1222 are 2, 13, 47. Prime factorization of 1222 in exponential form is:

1222 = 21 × 131 × 471

Prime Factorization of 1237

Prime factors of 1237 are 1237. Prime factorization of 1237 in exponential form is:

1237 = 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 1222 and 1237.

LCM(1222,1237) = 21 × 131 × 471 × 12371
LCM(1222,1237) = 1511614