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What is the Least Common Multiple of 77609 and 77626?

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 77609 and 77626 is 6024476234.

LCM(77609,77626) = 6024476234

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Least Common Multiple of 77609 and 77626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77609 and 77626, than apply into the LCM equation.

GCF(77609,77626) = 1
LCM(77609,77626) = ( 77609 × 77626) / 1
LCM(77609,77626) = 6024476234 / 1
LCM(77609,77626) = 6024476234

Least Common Multiple (LCM) of 77609 and 77626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77609 and 77626. First we will calculate the prime factors of 77609 and 77626.

Prime Factorization of 77609

Prime factors of 77609 are 7, 11087. Prime factorization of 77609 in exponential form is:

77609 = 71 × 110871

Prime Factorization of 77626

Prime factors of 77626 are 2, 37, 1049. Prime factorization of 77626 in exponential form is:

77626 = 21 × 371 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 77609 and 77626.

LCM(77609,77626) = 71 × 110871 × 21 × 371 × 10491
LCM(77609,77626) = 6024476234