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What is the Least Common Multiple of 66141 and 66154?

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 66141 and 66154 is 4375491714.

LCM(66141,66154) = 4375491714

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Least Common Multiple of 66141 and 66154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66141 and 66154, than apply into the LCM equation.

GCF(66141,66154) = 1
LCM(66141,66154) = ( 66141 × 66154) / 1
LCM(66141,66154) = 4375491714 / 1
LCM(66141,66154) = 4375491714

Least Common Multiple (LCM) of 66141 and 66154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66141 and 66154. First we will calculate the prime factors of 66141 and 66154.

Prime Factorization of 66141

Prime factors of 66141 are 3, 7349. Prime factorization of 66141 in exponential form is:

66141 = 32 × 73491

Prime Factorization of 66154

Prime factors of 66154 are 2, 11, 31, 97. Prime factorization of 66154 in exponential form is:

66154 = 21 × 111 × 311 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 66141 and 66154.

LCM(66141,66154) = 32 × 73491 × 21 × 111 × 311 × 971
LCM(66141,66154) = 4375491714