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What is the Least Common Multiple of 15977 and 15987?

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 15977 and 15987 is 255424299.

LCM(15977,15987) = 255424299

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Least Common Multiple of 15977 and 15987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15977 and 15987, than apply into the LCM equation.

GCF(15977,15987) = 1
LCM(15977,15987) = ( 15977 × 15987) / 1
LCM(15977,15987) = 255424299 / 1
LCM(15977,15987) = 255424299

Least Common Multiple (LCM) of 15977 and 15987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15977 and 15987. First we will calculate the prime factors of 15977 and 15987.

Prime Factorization of 15977

Prime factors of 15977 are 13, 1229. Prime factorization of 15977 in exponential form is:

15977 = 131 × 12291

Prime Factorization of 15987

Prime factors of 15987 are 3, 73. Prime factorization of 15987 in exponential form is:

15987 = 31 × 732

Now multiplying the highest exponent prime factors to calculate the LCM of 15977 and 15987.

LCM(15977,15987) = 131 × 12291 × 31 × 732
LCM(15977,15987) = 255424299