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What is the Least Common Multiple of 3212 and 3231?

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 3212 and 3231 is 10377972.

LCM(3212,3231) = 10377972

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Least Common Multiple of 3212 and 3231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3212 and 3231, than apply into the LCM equation.

GCF(3212,3231) = 1
LCM(3212,3231) = ( 3212 × 3231) / 1
LCM(3212,3231) = 10377972 / 1
LCM(3212,3231) = 10377972

Least Common Multiple (LCM) of 3212 and 3231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3212 and 3231. First we will calculate the prime factors of 3212 and 3231.

Prime Factorization of 3212

Prime factors of 3212 are 2, 11, 73. Prime factorization of 3212 in exponential form is:

3212 = 22 × 111 × 731

Prime Factorization of 3231

Prime factors of 3231 are 3, 359. Prime factorization of 3231 in exponential form is:

3231 = 32 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 3212 and 3231.

LCM(3212,3231) = 22 × 111 × 731 × 32 × 3591
LCM(3212,3231) = 10377972