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What is the Least Common Multiple of 67201 and 67206?

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 67201 and 67206 is 4516310406.

LCM(67201,67206) = 4516310406

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Least Common Multiple of 67201 and 67206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67201 and 67206, than apply into the LCM equation.

GCF(67201,67206) = 1
LCM(67201,67206) = ( 67201 × 67206) / 1
LCM(67201,67206) = 4516310406 / 1
LCM(67201,67206) = 4516310406

Least Common Multiple (LCM) of 67201 and 67206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67201 and 67206. First we will calculate the prime factors of 67201 and 67206.

Prime Factorization of 67201

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

67201 = 171 × 591 × 671

Prime Factorization of 67206

Prime factors of 67206 are 2, 3, 23, 487. Prime factorization of 67206 in exponential form is:

67206 = 21 × 31 × 231 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 67201 and 67206.

LCM(67201,67206) = 171 × 591 × 671 × 21 × 31 × 231 × 4871
LCM(67201,67206) = 4516310406