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What is the Least Common Multiple of 27912 and 27929?

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 27912 and 27929 is 779554248.

LCM(27912,27929) = 779554248

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Least Common Multiple of 27912 and 27929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27912 and 27929, than apply into the LCM equation.

GCF(27912,27929) = 1
LCM(27912,27929) = ( 27912 × 27929) / 1
LCM(27912,27929) = 779554248 / 1
LCM(27912,27929) = 779554248

Least Common Multiple (LCM) of 27912 and 27929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27912 and 27929. First we will calculate the prime factors of 27912 and 27929.

Prime Factorization of 27912

Prime factors of 27912 are 2, 3, 1163. Prime factorization of 27912 in exponential form is:

27912 = 23 × 31 × 11631

Prime Factorization of 27929

Prime factors of 27929 are 11, 2539. Prime factorization of 27929 in exponential form is:

27929 = 111 × 25391

Now multiplying the highest exponent prime factors to calculate the LCM of 27912 and 27929.

LCM(27912,27929) = 23 × 31 × 11631 × 111 × 25391
LCM(27912,27929) = 779554248