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What is the Least Common Multiple of 44898 and 44915?

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 44898 and 44915 is 2016593670.

LCM(44898,44915) = 2016593670

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Least Common Multiple of 44898 and 44915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44898 and 44915, than apply into the LCM equation.

GCF(44898,44915) = 1
LCM(44898,44915) = ( 44898 × 44915) / 1
LCM(44898,44915) = 2016593670 / 1
LCM(44898,44915) = 2016593670

Least Common Multiple (LCM) of 44898 and 44915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44898 and 44915. First we will calculate the prime factors of 44898 and 44915.

Prime Factorization of 44898

Prime factors of 44898 are 2, 3, 7, 1069. Prime factorization of 44898 in exponential form is:

44898 = 21 × 31 × 71 × 10691

Prime Factorization of 44915

Prime factors of 44915 are 5, 13, 691. Prime factorization of 44915 in exponential form is:

44915 = 51 × 131 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 44898 and 44915.

LCM(44898,44915) = 21 × 31 × 71 × 10691 × 51 × 131 × 6911
LCM(44898,44915) = 2016593670