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What is the Least Common Multiple of 66114 and 66127?

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 66114 and 66127 is 4371920478.

LCM(66114,66127) = 4371920478

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Least Common Multiple of 66114 and 66127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66114 and 66127, than apply into the LCM equation.

GCF(66114,66127) = 1
LCM(66114,66127) = ( 66114 × 66127) / 1
LCM(66114,66127) = 4371920478 / 1
LCM(66114,66127) = 4371920478

Least Common Multiple (LCM) of 66114 and 66127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66114 and 66127. First we will calculate the prime factors of 66114 and 66127.

Prime Factorization of 66114

Prime factors of 66114 are 2, 3, 3673. Prime factorization of 66114 in exponential form is:

66114 = 21 × 32 × 36731

Prime Factorization of 66127

Prime factors of 66127 are 89, 743. Prime factorization of 66127 in exponential form is:

66127 = 891 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 66114 and 66127.

LCM(66114,66127) = 21 × 32 × 36731 × 891 × 7431
LCM(66114,66127) = 4371920478