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What is the Least Common Multiple of 1212 and 1223?

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 1212 and 1223 is 1482276.

LCM(1212,1223) = 1482276

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Least Common Multiple of 1212 and 1223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1212 and 1223, than apply into the LCM equation.

GCF(1212,1223) = 1
LCM(1212,1223) = ( 1212 × 1223) / 1
LCM(1212,1223) = 1482276 / 1
LCM(1212,1223) = 1482276

Least Common Multiple (LCM) of 1212 and 1223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1212 and 1223. First we will calculate the prime factors of 1212 and 1223.

Prime Factorization of 1212

Prime factors of 1212 are 2, 3, 101. Prime factorization of 1212 in exponential form is:

1212 = 22 × 31 × 1011

Prime Factorization of 1223

Prime factors of 1223 are 1223. Prime factorization of 1223 in exponential form is:

1223 = 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 1212 and 1223.

LCM(1212,1223) = 22 × 31 × 1011 × 12231
LCM(1212,1223) = 1482276