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What is the Least Common Multiple of 66102 and 66119?

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 66102 and 66119 is 4370598138.

LCM(66102,66119) = 4370598138

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Least Common Multiple of 66102 and 66119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66102 and 66119, than apply into the LCM equation.

GCF(66102,66119) = 1
LCM(66102,66119) = ( 66102 × 66119) / 1
LCM(66102,66119) = 4370598138 / 1
LCM(66102,66119) = 4370598138

Least Common Multiple (LCM) of 66102 and 66119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66102 and 66119. First we will calculate the prime factors of 66102 and 66119.

Prime Factorization of 66102

Prime factors of 66102 are 2, 3, 23, 479. Prime factorization of 66102 in exponential form is:

66102 = 21 × 31 × 231 × 4791

Prime Factorization of 66119

Prime factors of 66119 are 37, 1787. Prime factorization of 66119 in exponential form is:

66119 = 371 × 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 66102 and 66119.

LCM(66102,66119) = 21 × 31 × 231 × 4791 × 371 × 17871
LCM(66102,66119) = 4370598138