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What is the Least Common Multiple of 27722 and 27739?

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 27722 and 27739 is 768980558.

LCM(27722,27739) = 768980558

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Least Common Multiple of 27722 and 27739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27722 and 27739, than apply into the LCM equation.

GCF(27722,27739) = 1
LCM(27722,27739) = ( 27722 × 27739) / 1
LCM(27722,27739) = 768980558 / 1
LCM(27722,27739) = 768980558

Least Common Multiple (LCM) of 27722 and 27739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27722 and 27739. First we will calculate the prime factors of 27722 and 27739.

Prime Factorization of 27722

Prime factors of 27722 are 2, 83, 167. Prime factorization of 27722 in exponential form is:

27722 = 21 × 831 × 1671

Prime Factorization of 27739

Prime factors of 27739 are 27739. Prime factorization of 27739 in exponential form is:

27739 = 277391

Now multiplying the highest exponent prime factors to calculate the LCM of 27722 and 27739.

LCM(27722,27739) = 21 × 831 × 1671 × 277391
LCM(27722,27739) = 768980558