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What is the Least Common Multiple of 3951 and 3968?

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 3951 and 3968 is 15677568.

LCM(3951,3968) = 15677568

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Least Common Multiple of 3951 and 3968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3951 and 3968, than apply into the LCM equation.

GCF(3951,3968) = 1
LCM(3951,3968) = ( 3951 × 3968) / 1
LCM(3951,3968) = 15677568 / 1
LCM(3951,3968) = 15677568

Least Common Multiple (LCM) of 3951 and 3968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3951 and 3968. First we will calculate the prime factors of 3951 and 3968.

Prime Factorization of 3951

Prime factors of 3951 are 3, 439. Prime factorization of 3951 in exponential form is:

3951 = 32 × 4391

Prime Factorization of 3968

Prime factors of 3968 are 2, 31. Prime factorization of 3968 in exponential form is:

3968 = 27 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 3951 and 3968.

LCM(3951,3968) = 32 × 4391 × 27 × 311
LCM(3951,3968) = 15677568