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What is the Least Common Multiple of 77959 and 77974?

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 77959 and 77974 is 6078775066.

LCM(77959,77974) = 6078775066

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Least Common Multiple of 77959 and 77974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77959 and 77974, than apply into the LCM equation.

GCF(77959,77974) = 1
LCM(77959,77974) = ( 77959 × 77974) / 1
LCM(77959,77974) = 6078775066 / 1
LCM(77959,77974) = 6078775066

Least Common Multiple (LCM) of 77959 and 77974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77959 and 77974. First we will calculate the prime factors of 77959 and 77974.

Prime Factorization of 77959

Prime factors of 77959 are 7, 37, 43. Prime factorization of 77959 in exponential form is:

77959 = 72 × 371 × 431

Prime Factorization of 77974

Prime factors of 77974 are 2, 13, 2999. Prime factorization of 77974 in exponential form is:

77974 = 21 × 131 × 29991

Now multiplying the highest exponent prime factors to calculate the LCM of 77959 and 77974.

LCM(77959,77974) = 72 × 371 × 431 × 21 × 131 × 29991
LCM(77959,77974) = 6078775066