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What is the Least Common Multiple of 67190 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 67190 and 67201 is 4515235190.

LCM(67190,67201) = 4515235190

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Least Common Multiple of 67190 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 67190 and 67201, than apply into the LCM equation.

GCF(67190,67201) = 1
LCM(67190,67201) = ( 67190 × 67201) / 1
LCM(67190,67201) = 4515235190 / 1
LCM(67190,67201) = 4515235190

Least Common Multiple (LCM) of 67190 and 67201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67190 and 67201. First we will calculate the prime factors of 67190 and 67201.

Prime Factorization of 67190

Prime factors of 67190 are 2, 5, 6719. Prime factorization of 67190 in exponential form is:

67190 = 21 × 51 × 67191

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 67190 and 67201.

LCM(67190,67201) = 21 × 51 × 67191 × 171 × 591 × 671
LCM(67190,67201) = 4515235190