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What is the Least Common Multiple of 43990 and 43995?

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 43990 and 43995 is 387068010.

LCM(43990,43995) = 387068010

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Least Common Multiple of 43990 and 43995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43990 and 43995, than apply into the LCM equation.

GCF(43990,43995) = 5
LCM(43990,43995) = ( 43990 × 43995) / 5
LCM(43990,43995) = 1935340050 / 5
LCM(43990,43995) = 387068010

Least Common Multiple (LCM) of 43990 and 43995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43990 and 43995. First we will calculate the prime factors of 43990 and 43995.

Prime Factorization of 43990

Prime factors of 43990 are 2, 5, 53, 83. Prime factorization of 43990 in exponential form is:

43990 = 21 × 51 × 531 × 831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 43990 and 43995.

LCM(43990,43995) = 21 × 51 × 531 × 831 × 31 × 71 × 4191
LCM(43990,43995) = 387068010