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What is the Least Common Multiple of 44044 and 44062?

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 44044 and 44062 is 970333364.

LCM(44044,44062) = 970333364

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Least Common Multiple of 44044 and 44062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44044 and 44062, than apply into the LCM equation.

GCF(44044,44062) = 2
LCM(44044,44062) = ( 44044 × 44062) / 2
LCM(44044,44062) = 1940666728 / 2
LCM(44044,44062) = 970333364

Least Common Multiple (LCM) of 44044 and 44062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44044 and 44062. First we will calculate the prime factors of 44044 and 44062.

Prime Factorization of 44044

Prime factors of 44044 are 2, 7, 11, 13. Prime factorization of 44044 in exponential form is:

44044 = 22 × 71 × 112 × 131

Prime Factorization of 44062

Prime factors of 44062 are 2, 22031. Prime factorization of 44062 in exponential form is:

44062 = 21 × 220311

Now multiplying the highest exponent prime factors to calculate the LCM of 44044 and 44062.

LCM(44044,44062) = 22 × 71 × 112 × 131 × 220311
LCM(44044,44062) = 970333364