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What is the Least Common Multiple of 67815 and 67832?

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 67815 and 67832 is 4600027080.

LCM(67815,67832) = 4600027080

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Least Common Multiple of 67815 and 67832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67815 and 67832, than apply into the LCM equation.

GCF(67815,67832) = 1
LCM(67815,67832) = ( 67815 × 67832) / 1
LCM(67815,67832) = 4600027080 / 1
LCM(67815,67832) = 4600027080

Least Common Multiple (LCM) of 67815 and 67832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67815 and 67832. First we will calculate the prime factors of 67815 and 67832.

Prime Factorization of 67815

Prime factors of 67815 are 3, 5, 11, 137. Prime factorization of 67815 in exponential form is:

67815 = 32 × 51 × 111 × 1371

Prime Factorization of 67832

Prime factors of 67832 are 2, 61, 139. Prime factorization of 67832 in exponential form is:

67832 = 23 × 611 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 67815 and 67832.

LCM(67815,67832) = 32 × 51 × 111 × 1371 × 23 × 611 × 1391
LCM(67815,67832) = 4600027080