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What is the Least Common Multiple of 632 and 651?

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 632 and 651 is 411432.

LCM(632,651) = 411432

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Least Common Multiple of 632 and 651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 632 and 651, than apply into the LCM equation.

GCF(632,651) = 1
LCM(632,651) = ( 632 × 651) / 1
LCM(632,651) = 411432 / 1
LCM(632,651) = 411432

Least Common Multiple (LCM) of 632 and 651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 632 and 651. First we will calculate the prime factors of 632 and 651.

Prime Factorization of 632

Prime factors of 632 are 2, 79. Prime factorization of 632 in exponential form is:

632 = 23 × 791

Prime Factorization of 651

Prime factors of 651 are 3, 7, 31. Prime factorization of 651 in exponential form is:

651 = 31 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 632 and 651.

LCM(632,651) = 23 × 791 × 31 × 71 × 311
LCM(632,651) = 411432