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What is the Least Common Multiple of 23977 and 23981?

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 23977 and 23981 is 574992437.

LCM(23977,23981) = 574992437

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Least Common Multiple of 23977 and 23981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23977 and 23981, than apply into the LCM equation.

GCF(23977,23981) = 1
LCM(23977,23981) = ( 23977 × 23981) / 1
LCM(23977,23981) = 574992437 / 1
LCM(23977,23981) = 574992437

Least Common Multiple (LCM) of 23977 and 23981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23977 and 23981. First we will calculate the prime factors of 23977 and 23981.

Prime Factorization of 23977

Prime factors of 23977 are 23977. Prime factorization of 23977 in exponential form is:

23977 = 239771

Prime Factorization of 23981

Prime factors of 23981 are 23981. Prime factorization of 23981 in exponential form is:

23981 = 239811

Now multiplying the highest exponent prime factors to calculate the LCM of 23977 and 23981.

LCM(23977,23981) = 239771 × 239811
LCM(23977,23981) = 574992437