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What is the Least Common Multiple of 67632 and 67651?

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 67632 and 67651 is 4575372432.

LCM(67632,67651) = 4575372432

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Least Common Multiple of 67632 and 67651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67632 and 67651, than apply into the LCM equation.

GCF(67632,67651) = 1
LCM(67632,67651) = ( 67632 × 67651) / 1
LCM(67632,67651) = 4575372432 / 1
LCM(67632,67651) = 4575372432

Least Common Multiple (LCM) of 67632 and 67651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67632 and 67651. First we will calculate the prime factors of 67632 and 67651.

Prime Factorization of 67632

Prime factors of 67632 are 2, 3, 1409. Prime factorization of 67632 in exponential form is:

67632 = 24 × 31 × 14091

Prime Factorization of 67651

Prime factors of 67651 are 67651. Prime factorization of 67651 in exponential form is:

67651 = 676511

Now multiplying the highest exponent prime factors to calculate the LCM of 67632 and 67651.

LCM(67632,67651) = 24 × 31 × 14091 × 676511
LCM(67632,67651) = 4575372432