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What is the Least Common Multiple of 14990 and 14995?

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 14990 and 14995 is 44955010.

LCM(14990,14995) = 44955010

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Least Common Multiple of 14990 and 14995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14990 and 14995, than apply into the LCM equation.

GCF(14990,14995) = 5
LCM(14990,14995) = ( 14990 × 14995) / 5
LCM(14990,14995) = 224775050 / 5
LCM(14990,14995) = 44955010

Least Common Multiple (LCM) of 14990 and 14995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14990 and 14995. First we will calculate the prime factors of 14990 and 14995.

Prime Factorization of 14990

Prime factors of 14990 are 2, 5, 1499. Prime factorization of 14990 in exponential form is:

14990 = 21 × 51 × 14991

Prime Factorization of 14995

Prime factors of 14995 are 5, 2999. Prime factorization of 14995 in exponential form is:

14995 = 51 × 29991

Now multiplying the highest exponent prime factors to calculate the LCM of 14990 and 14995.

LCM(14990,14995) = 21 × 51 × 14991 × 29991
LCM(14990,14995) = 44955010