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What is the Least Common Multiple of 27955 and 27962?

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 27955 and 27962 is 781677710.

LCM(27955,27962) = 781677710

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Least Common Multiple of 27955 and 27962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27955 and 27962, than apply into the LCM equation.

GCF(27955,27962) = 1
LCM(27955,27962) = ( 27955 × 27962) / 1
LCM(27955,27962) = 781677710 / 1
LCM(27955,27962) = 781677710

Least Common Multiple (LCM) of 27955 and 27962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27955 and 27962. First we will calculate the prime factors of 27955 and 27962.

Prime Factorization of 27955

Prime factors of 27955 are 5, 5591. Prime factorization of 27955 in exponential form is:

27955 = 51 × 55911

Prime Factorization of 27962

Prime factors of 27962 are 2, 11, 31, 41. Prime factorization of 27962 in exponential form is:

27962 = 21 × 111 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 27955 and 27962.

LCM(27955,27962) = 51 × 55911 × 21 × 111 × 311 × 411
LCM(27955,27962) = 781677710