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What is the Least Common Multiple of 44202 and 44221?

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 44202 and 44221 is 1954656642.

LCM(44202,44221) = 1954656642

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Least Common Multiple of 44202 and 44221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44202 and 44221, than apply into the LCM equation.

GCF(44202,44221) = 1
LCM(44202,44221) = ( 44202 × 44221) / 1
LCM(44202,44221) = 1954656642 / 1
LCM(44202,44221) = 1954656642

Least Common Multiple (LCM) of 44202 and 44221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44202 and 44221. First we will calculate the prime factors of 44202 and 44221.

Prime Factorization of 44202

Prime factors of 44202 are 2, 3, 53, 139. Prime factorization of 44202 in exponential form is:

44202 = 21 × 31 × 531 × 1391

Prime Factorization of 44221

Prime factors of 44221 are 44221. Prime factorization of 44221 in exponential form is:

44221 = 442211

Now multiplying the highest exponent prime factors to calculate the LCM of 44202 and 44221.

LCM(44202,44221) = 21 × 31 × 531 × 1391 × 442211
LCM(44202,44221) = 1954656642