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What is the Least Common Multiple of 67188 and 67201?

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 67188 and 67201 is 4515100788.

LCM(67188,67201) = 4515100788

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Least Common Multiple of 67188 and 67201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67188 and 67201, than apply into the LCM equation.

GCF(67188,67201) = 1
LCM(67188,67201) = ( 67188 × 67201) / 1
LCM(67188,67201) = 4515100788 / 1
LCM(67188,67201) = 4515100788

Least Common Multiple (LCM) of 67188 and 67201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67188 and 67201. First we will calculate the prime factors of 67188 and 67201.

Prime Factorization of 67188

Prime factors of 67188 are 2, 3, 11, 509. Prime factorization of 67188 in exponential form is:

67188 = 22 × 31 × 111 × 5091

Prime Factorization of 67201

Prime factors of 67201 are 17, 59, 67. Prime factorization of 67201 in exponential form is:

67201 = 171 × 591 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 67188 and 67201.

LCM(67188,67201) = 22 × 31 × 111 × 5091 × 171 × 591 × 671
LCM(67188,67201) = 4515100788