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What is the Least Common Multiple of 13977 and 13995?

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 13977 and 13995 is 21734235.

LCM(13977,13995) = 21734235

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Least Common Multiple of 13977 and 13995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13977 and 13995, than apply into the LCM equation.

GCF(13977,13995) = 9
LCM(13977,13995) = ( 13977 × 13995) / 9
LCM(13977,13995) = 195608115 / 9
LCM(13977,13995) = 21734235

Least Common Multiple (LCM) of 13977 and 13995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13977 and 13995. First we will calculate the prime factors of 13977 and 13995.

Prime Factorization of 13977

Prime factors of 13977 are 3, 1553. Prime factorization of 13977 in exponential form is:

13977 = 32 × 15531

Prime Factorization of 13995

Prime factors of 13995 are 3, 5, 311. Prime factorization of 13995 in exponential form is:

13995 = 32 × 51 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 13977 and 13995.

LCM(13977,13995) = 32 × 15531 × 51 × 3111
LCM(13977,13995) = 21734235