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What is the Least Common Multiple of 44604 and 44614?

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 44604 and 44614 is 994981428.

LCM(44604,44614) = 994981428

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Least Common Multiple of 44604 and 44614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44604 and 44614, than apply into the LCM equation.

GCF(44604,44614) = 2
LCM(44604,44614) = ( 44604 × 44614) / 2
LCM(44604,44614) = 1989962856 / 2
LCM(44604,44614) = 994981428

Least Common Multiple (LCM) of 44604 and 44614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44604 and 44614. First we will calculate the prime factors of 44604 and 44614.

Prime Factorization of 44604

Prime factors of 44604 are 2, 3, 7, 59. Prime factorization of 44604 in exponential form is:

44604 = 22 × 33 × 71 × 591

Prime Factorization of 44614

Prime factors of 44614 are 2, 22307. Prime factorization of 44614 in exponential form is:

44614 = 21 × 223071

Now multiplying the highest exponent prime factors to calculate the LCM of 44604 and 44614.

LCM(44604,44614) = 22 × 33 × 71 × 591 × 223071
LCM(44604,44614) = 994981428