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What is the Least Common Multiple of 44045 and 44052?

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 44045 and 44052 is 1940270340.

LCM(44045,44052) = 1940270340

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Least Common Multiple of 44045 and 44052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44045 and 44052, than apply into the LCM equation.

GCF(44045,44052) = 1
LCM(44045,44052) = ( 44045 × 44052) / 1
LCM(44045,44052) = 1940270340 / 1
LCM(44045,44052) = 1940270340

Least Common Multiple (LCM) of 44045 and 44052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44045 and 44052. First we will calculate the prime factors of 44045 and 44052.

Prime Factorization of 44045

Prime factors of 44045 are 5, 23, 383. Prime factorization of 44045 in exponential form is:

44045 = 51 × 231 × 3831

Prime Factorization of 44052

Prime factors of 44052 are 2, 3, 3671. Prime factorization of 44052 in exponential form is:

44052 = 22 × 31 × 36711

Now multiplying the highest exponent prime factors to calculate the LCM of 44045 and 44052.

LCM(44045,44052) = 51 × 231 × 3831 × 22 × 31 × 36711
LCM(44045,44052) = 1940270340