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Least Common Multiple of 900 and 912

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 900 and 912 is 68400.

LCM(900,912) = 68400

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Least Common Multiple of 900 and 912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 900 and 912, than apply into the LCM equation.

GCF(900,912) = 12
LCM(900,912) = ( 900 × 912) / 12
LCM(900,912) = 820800 / 12
LCM(900,912) = 68400

Least Common Multiple (LCM) of 900 and 912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 900 and 912. First we will calculate the prime factors of 900 and 912.

Prime Factorization of 900

Prime factors of 900 are 2, 3, 5. Prime factorization of 900 in exponential form is:

900 = 22 × 32 × 52

Prime Factorization of 912

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

912 = 24 × 31 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 900 and 912.

LCM(900,912) = 24 × 32 × 52 × 191
LCM(900,912) = 68400

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