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What is the Least Common Multiple of 66098 and 66103?

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 66098 and 66103 is 4369276094.

LCM(66098,66103) = 4369276094

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Least Common Multiple of 66098 and 66103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66098 and 66103, than apply into the LCM equation.

GCF(66098,66103) = 1
LCM(66098,66103) = ( 66098 × 66103) / 1
LCM(66098,66103) = 4369276094 / 1
LCM(66098,66103) = 4369276094

Least Common Multiple (LCM) of 66098 and 66103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66098 and 66103. First we will calculate the prime factors of 66098 and 66103.

Prime Factorization of 66098

Prime factors of 66098 are 2, 33049. Prime factorization of 66098 in exponential form is:

66098 = 21 × 330491

Prime Factorization of 66103

Prime factors of 66103 are 66103. Prime factorization of 66103 in exponential form is:

66103 = 661031

Now multiplying the highest exponent prime factors to calculate the LCM of 66098 and 66103.

LCM(66098,66103) = 21 × 330491 × 661031
LCM(66098,66103) = 4369276094