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What is the Least Common Multiple of 44049 and 44067?

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 44049 and 44067 is 647035761.

LCM(44049,44067) = 647035761

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Least Common Multiple of 44049 and 44067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44049 and 44067, than apply into the LCM equation.

GCF(44049,44067) = 3
LCM(44049,44067) = ( 44049 × 44067) / 3
LCM(44049,44067) = 1941107283 / 3
LCM(44049,44067) = 647035761

Least Common Multiple (LCM) of 44049 and 44067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44049 and 44067. First we will calculate the prime factors of 44049 and 44067.

Prime Factorization of 44049

Prime factors of 44049 are 3, 14683. Prime factorization of 44049 in exponential form is:

44049 = 31 × 146831

Prime Factorization of 44067

Prime factors of 44067 are 3, 37, 397. Prime factorization of 44067 in exponential form is:

44067 = 31 × 371 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 44049 and 44067.

LCM(44049,44067) = 31 × 146831 × 371 × 3971
LCM(44049,44067) = 647035761