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What is the Least Common Multiple of 25767 and 25776?

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 25767 and 25776 is 73796688.

LCM(25767,25776) = 73796688

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Least Common Multiple of 25767 and 25776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25767 and 25776, than apply into the LCM equation.

GCF(25767,25776) = 9
LCM(25767,25776) = ( 25767 × 25776) / 9
LCM(25767,25776) = 664170192 / 9
LCM(25767,25776) = 73796688

Least Common Multiple (LCM) of 25767 and 25776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25767 and 25776. First we will calculate the prime factors of 25767 and 25776.

Prime Factorization of 25767

Prime factors of 25767 are 3, 7, 409. Prime factorization of 25767 in exponential form is:

25767 = 32 × 71 × 4091

Prime Factorization of 25776

Prime factors of 25776 are 2, 3, 179. Prime factorization of 25776 in exponential form is:

25776 = 24 × 32 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 25767 and 25776.

LCM(25767,25776) = 32 × 71 × 4091 × 24 × 1791
LCM(25767,25776) = 73796688