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What is the Least Common Multiple of 10366 and 10376?

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 10366 and 10376 is 53778808.

LCM(10366,10376) = 53778808

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Least Common Multiple of 10366 and 10376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10366 and 10376, than apply into the LCM equation.

GCF(10366,10376) = 2
LCM(10366,10376) = ( 10366 × 10376) / 2
LCM(10366,10376) = 107557616 / 2
LCM(10366,10376) = 53778808

Least Common Multiple (LCM) of 10366 and 10376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10366 and 10376. First we will calculate the prime factors of 10366 and 10376.

Prime Factorization of 10366

Prime factors of 10366 are 2, 71, 73. Prime factorization of 10366 in exponential form is:

10366 = 21 × 711 × 731

Prime Factorization of 10376

Prime factors of 10376 are 2, 1297. Prime factorization of 10376 in exponential form is:

10376 = 23 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 10366 and 10376.

LCM(10366,10376) = 23 × 711 × 731 × 12971
LCM(10366,10376) = 53778808