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What is the Least Common Multiple of 67816 and 67833?

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 67816 and 67833 is 4600162728.

LCM(67816,67833) = 4600162728

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Least Common Multiple of 67816 and 67833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67816 and 67833, than apply into the LCM equation.

GCF(67816,67833) = 1
LCM(67816,67833) = ( 67816 × 67833) / 1
LCM(67816,67833) = 4600162728 / 1
LCM(67816,67833) = 4600162728

Least Common Multiple (LCM) of 67816 and 67833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67816 and 67833. First we will calculate the prime factors of 67816 and 67833.

Prime Factorization of 67816

Prime factors of 67816 are 2, 7, 173. Prime factorization of 67816 in exponential form is:

67816 = 23 × 72 × 1731

Prime Factorization of 67833

Prime factors of 67833 are 3, 7537. Prime factorization of 67833 in exponential form is:

67833 = 32 × 75371

Now multiplying the highest exponent prime factors to calculate the LCM of 67816 and 67833.

LCM(67816,67833) = 23 × 72 × 1731 × 32 × 75371
LCM(67816,67833) = 4600162728