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What is the Least Common Multiple of 15954 and 15968?

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 15954 and 15968 is 127376736.

LCM(15954,15968) = 127376736

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Least Common Multiple of 15954 and 15968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15954 and 15968, than apply into the LCM equation.

GCF(15954,15968) = 2
LCM(15954,15968) = ( 15954 × 15968) / 2
LCM(15954,15968) = 254753472 / 2
LCM(15954,15968) = 127376736

Least Common Multiple (LCM) of 15954 and 15968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15954 and 15968. First we will calculate the prime factors of 15954 and 15968.

Prime Factorization of 15954

Prime factors of 15954 are 2, 3, 2659. Prime factorization of 15954 in exponential form is:

15954 = 21 × 31 × 26591

Prime Factorization of 15968

Prime factors of 15968 are 2, 499. Prime factorization of 15968 in exponential form is:

15968 = 25 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 15954 and 15968.

LCM(15954,15968) = 25 × 31 × 26591 × 4991
LCM(15954,15968) = 127376736