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What is the Least Common Multiple of 44015 and 44029?

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 44015 and 44029 is 1937936435.

LCM(44015,44029) = 1937936435

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Least Common Multiple of 44015 and 44029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44015 and 44029, than apply into the LCM equation.

GCF(44015,44029) = 1
LCM(44015,44029) = ( 44015 × 44029) / 1
LCM(44015,44029) = 1937936435 / 1
LCM(44015,44029) = 1937936435

Least Common Multiple (LCM) of 44015 and 44029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44015 and 44029. First we will calculate the prime factors of 44015 and 44029.

Prime Factorization of 44015

Prime factors of 44015 are 5, 8803. Prime factorization of 44015 in exponential form is:

44015 = 51 × 88031

Prime Factorization of 44029

Prime factors of 44029 are 44029. Prime factorization of 44029 in exponential form is:

44029 = 440291

Now multiplying the highest exponent prime factors to calculate the LCM of 44015 and 44029.

LCM(44015,44029) = 51 × 88031 × 440291
LCM(44015,44029) = 1937936435