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What is the Least Common Multiple of 43992 and 44005?

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 43992 and 44005 is 148912920.

LCM(43992,44005) = 148912920

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Least Common Multiple of 43992 and 44005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43992 and 44005, than apply into the LCM equation.

GCF(43992,44005) = 13
LCM(43992,44005) = ( 43992 × 44005) / 13
LCM(43992,44005) = 1935867960 / 13
LCM(43992,44005) = 148912920

Least Common Multiple (LCM) of 43992 and 44005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43992 and 44005. First we will calculate the prime factors of 43992 and 44005.

Prime Factorization of 43992

Prime factors of 43992 are 2, 3, 13, 47. Prime factorization of 43992 in exponential form is:

43992 = 23 × 32 × 131 × 471

Prime Factorization of 44005

Prime factors of 44005 are 5, 13, 677. Prime factorization of 44005 in exponential form is:

44005 = 51 × 131 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 43992 and 44005.

LCM(43992,44005) = 23 × 32 × 131 × 471 × 51 × 6771
LCM(43992,44005) = 148912920