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What is the Least Common Multiple of 1212 and 1231?

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 1231 is 1491972.

LCM(1212,1231) = 1491972

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Least Common Multiple of 1212 and 1231 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 1231, than apply into the LCM equation.

GCF(1212,1231) = 1
LCM(1212,1231) = ( 1212 × 1231) / 1
LCM(1212,1231) = 1491972 / 1
LCM(1212,1231) = 1491972

Least Common Multiple (LCM) of 1212 and 1231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1212 and 1231. First we will calculate the prime factors of 1212 and 1231.

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 1231

Prime factors of 1231 are 1231. Prime factorization of 1231 in exponential form is:

1231 = 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 1212 and 1231.

LCM(1212,1231) = 22 × 31 × 1011 × 12311
LCM(1212,1231) = 1491972