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What is the Least Common Multiple of 27775 and 27782?

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 27775 and 27782 is 771645050.

LCM(27775,27782) = 771645050

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Least Common Multiple of 27775 and 27782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27775 and 27782, than apply into the LCM equation.

GCF(27775,27782) = 1
LCM(27775,27782) = ( 27775 × 27782) / 1
LCM(27775,27782) = 771645050 / 1
LCM(27775,27782) = 771645050

Least Common Multiple (LCM) of 27775 and 27782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27775 and 27782. First we will calculate the prime factors of 27775 and 27782.

Prime Factorization of 27775

Prime factors of 27775 are 5, 11, 101. Prime factorization of 27775 in exponential form is:

27775 = 52 × 111 × 1011

Prime Factorization of 27782

Prime factors of 27782 are 2, 29, 479. Prime factorization of 27782 in exponential form is:

27782 = 21 × 291 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 27775 and 27782.

LCM(27775,27782) = 52 × 111 × 1011 × 21 × 291 × 4791
LCM(27775,27782) = 771645050