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What is the Least Common Multiple of 12633 and 12651?

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 12633 and 12651 is 53273361.

LCM(12633,12651) = 53273361

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Least Common Multiple of 12633 and 12651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12633 and 12651, than apply into the LCM equation.

GCF(12633,12651) = 3
LCM(12633,12651) = ( 12633 × 12651) / 3
LCM(12633,12651) = 159820083 / 3
LCM(12633,12651) = 53273361

Least Common Multiple (LCM) of 12633 and 12651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12633 and 12651. First we will calculate the prime factors of 12633 and 12651.

Prime Factorization of 12633

Prime factors of 12633 are 3, 4211. Prime factorization of 12633 in exponential form is:

12633 = 31 × 42111

Prime Factorization of 12651

Prime factors of 12651 are 3, 4217. Prime factorization of 12651 in exponential form is:

12651 = 31 × 42171

Now multiplying the highest exponent prime factors to calculate the LCM of 12633 and 12651.

LCM(12633,12651) = 31 × 42111 × 42171
LCM(12633,12651) = 53273361