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What is the Least Common Multiple of 44093 and 44102?

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 44093 and 44102 is 1944589486.

LCM(44093,44102) = 1944589486

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Least Common Multiple of 44093 and 44102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44093 and 44102, than apply into the LCM equation.

GCF(44093,44102) = 1
LCM(44093,44102) = ( 44093 × 44102) / 1
LCM(44093,44102) = 1944589486 / 1
LCM(44093,44102) = 1944589486

Least Common Multiple (LCM) of 44093 and 44102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44093 and 44102. First we will calculate the prime factors of 44093 and 44102.

Prime Factorization of 44093

Prime factors of 44093 are 7, 6299. Prime factorization of 44093 in exponential form is:

44093 = 71 × 62991

Prime Factorization of 44102

Prime factors of 44102 are 2, 22051. Prime factorization of 44102 in exponential form is:

44102 = 21 × 220511

Now multiplying the highest exponent prime factors to calculate the LCM of 44093 and 44102.

LCM(44093,44102) = 71 × 62991 × 21 × 220511
LCM(44093,44102) = 1944589486