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What is the Least Common Multiple of 43995 and 44002?

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 43995 and 44002 is 276552570.

LCM(43995,44002) = 276552570

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Least Common Multiple of 43995 and 44002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43995 and 44002, than apply into the LCM equation.

GCF(43995,44002) = 7
LCM(43995,44002) = ( 43995 × 44002) / 7
LCM(43995,44002) = 1935867990 / 7
LCM(43995,44002) = 276552570

Least Common Multiple (LCM) of 43995 and 44002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43995 and 44002. First we will calculate the prime factors of 43995 and 44002.

Prime Factorization of 43995

Prime factors of 43995 are 3, 5, 7, 419. Prime factorization of 43995 in exponential form is:

43995 = 31 × 51 × 71 × 4191

Prime Factorization of 44002

Prime factors of 44002 are 2, 7, 449. Prime factorization of 44002 in exponential form is:

44002 = 21 × 72 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 43995 and 44002.

LCM(43995,44002) = 31 × 51 × 72 × 4191 × 21 × 4491
LCM(43995,44002) = 276552570