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What is the Least Common Multiple of 66195 and 66206?

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 66195 and 66206 is 4382506170.

LCM(66195,66206) = 4382506170

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Least Common Multiple of 66195 and 66206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66195 and 66206, than apply into the LCM equation.

GCF(66195,66206) = 1
LCM(66195,66206) = ( 66195 × 66206) / 1
LCM(66195,66206) = 4382506170 / 1
LCM(66195,66206) = 4382506170

Least Common Multiple (LCM) of 66195 and 66206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66195 and 66206. First we will calculate the prime factors of 66195 and 66206.

Prime Factorization of 66195

Prime factors of 66195 are 3, 5, 1471. Prime factorization of 66195 in exponential form is:

66195 = 32 × 51 × 14711

Prime Factorization of 66206

Prime factors of 66206 are 2, 7, 4729. Prime factorization of 66206 in exponential form is:

66206 = 21 × 71 × 47291

Now multiplying the highest exponent prime factors to calculate the LCM of 66195 and 66206.

LCM(66195,66206) = 32 × 51 × 14711 × 21 × 71 × 47291
LCM(66195,66206) = 4382506170