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What is the Least Common Multiple of 912 and 919?

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 912 and 919 is 838128.

LCM(912,919) = 838128

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Least Common Multiple of 912 and 919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 912 and 919, than apply into the LCM equation.

GCF(912,919) = 1
LCM(912,919) = ( 912 × 919) / 1
LCM(912,919) = 838128 / 1
LCM(912,919) = 838128

Least Common Multiple (LCM) of 912 and 919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 912 and 919. First we will calculate the prime factors of 912 and 919.

Prime Factorization of 912

Prime factors of 912 are 2, 3, 19. Prime factorization of 912 in exponential form is:

912 = 24 × 31 × 191

Prime Factorization of 919

Prime factors of 919 are 919. Prime factorization of 919 in exponential form is:

919 = 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 912 and 919.

LCM(912,919) = 24 × 31 × 191 × 9191
LCM(912,919) = 838128