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What is the Least Common Multiple of 44187 and 44206?

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 44187 and 44206 is 1953330522.

LCM(44187,44206) = 1953330522

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Least Common Multiple of 44187 and 44206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44187 and 44206, than apply into the LCM equation.

GCF(44187,44206) = 1
LCM(44187,44206) = ( 44187 × 44206) / 1
LCM(44187,44206) = 1953330522 / 1
LCM(44187,44206) = 1953330522

Least Common Multiple (LCM) of 44187 and 44206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44187 and 44206. First we will calculate the prime factors of 44187 and 44206.

Prime Factorization of 44187

Prime factors of 44187 are 3, 11, 13, 103. Prime factorization of 44187 in exponential form is:

44187 = 31 × 111 × 131 × 1031

Prime Factorization of 44206

Prime factors of 44206 are 2, 23, 31. Prime factorization of 44206 in exponential form is:

44206 = 21 × 231 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 44187 and 44206.

LCM(44187,44206) = 31 × 111 × 131 × 1031 × 21 × 231 × 312
LCM(44187,44206) = 1953330522